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130122321113424 = 24319374997727779
BaseRepresentation
bin11101100101100001110110…
…101110100011000101010000
3122001201120110021202200022010
4131211201312232203011100
5114023411003201112144
61140425211415542520
736260012264052423
oct3545416656430520
9561646407680263
10130122321113424
1138508625a94202
12127166b208aa40
13577b6365c7843
14241bd4d8ab9ba
151009ba81e15b9
hex765876ba3150

130122321113424 has 160 divisors (see below), whose sum is σ = 364132993600000. Its totient is φ = 39900557947392.

The previous prime is 130122321113423. The next prime is 130122321113437. The reversal of 130122321113424 is 424311123221031.

It is a junction number, because it is equal to n+sod(n) for n = 130122321113391 and 130122321113400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122321113423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12974367 + ... + 20702145.

It is an arithmetic number, because the mean of its divisors is an integer number (2275831210000).

Almost surely, 2130122321113424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130122321113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182066496800000).

130122321113424 is an abundant number, since it is smaller than the sum of its proper divisors (234010672486576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130122321113424 is a wasteful number, since it uses less digits than its factorization.

130122321113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728345 (or 7728339 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 130122321113424 its reverse (424311123221031), we get a palindrome (554433444334455).

The spelling of 130122321113424 in words is "one hundred thirty trillion, one hundred twenty-two billion, three hundred twenty-one million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 499 592 703 888 912 998 1406 1497 1776 1996 2109 2812 2994 3992 4218 5624 5988 7984 8436 9481 11248 11976 16872 18463 18962 23952 28443 33744 36926 37924 55389 56886 73852 75848 110778 113772 147704 151696 221556 227544 295408 350797 443112 455088 701594 886224 1052391 1403188 2104782 2806376 4209564 5612752 7727779 8419128 15455558 16838256 23183337 30911116 46366674 61822232 92733348 123644464 146827801 185466696 285927823 293655602 370933392 440483403 571855646 587311204 857783469 880966806 1143711292 1174622408 1715566938 1761933612 2287422584 2349244816 3431133876 3523867224 3856161721 4574845168 5432628637 6862267752 7047734448 7712323442 10865257274 11568485163 13724535504 15424646884 16297885911 21730514548 23136970326 30849293768 32595771822 43461029096 46273940652 61698587536 65191543644 73267072699 86922058192 92547881304 130383087288 142677983677 146534145398 185095762608 219801218097 260766174576 285355967354 293068290796 428033951031 439602436194 570711934708 586136581592 856067902062 879204872388 1141423869416 1172273163184 1712135804124 1758409744776 2282847738832 2710881689863 3424271608248 3516819489552 5421763379726 6848543216496 8132645069589 10843526759452 16265290139178 21687053518904 32530580278356 43374107037808 65061160556712 130122321113424