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101330121032304 = 243372411163203563
BaseRepresentation
bin10111000010100011000001…
…110111101000001001110000
3111021210001202100200221222220
4113002203001313220021300
5101240143041441013204
6555302225344401040
730225600601313433
oct2702430167501160
9437701670627886
10101330121032304
112a31795471979a
12b446558616180
13447050a701208
141b0459290d81a
15baac67c7a1d9
hex5c28c1de8270

101330121032304 has 160 divisors (see below), whose sum is σ = 270193317782784. Its totient is φ = 32699157442560.

The previous prime is 101330121032221. The next prime is 101330121032323. The reversal of 101330121032304 is 403230121033101.

It is a super-2 number, since 2×1013301210323042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497680827 + ... + 497884389.

Almost surely, 2101330121032304 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 101330121032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135096658891392).

101330121032304 is an abundant number, since it is smaller than the sum of its proper divisors (168863196750480).

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

101330121032304 is a wasteful number, since it uses less digits than its factorization.

101330121032304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205015 (or 205009 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101330121032304 its reverse (403230121033101), we get a palindrome (504560242065405).

The spelling of 101330121032304 in words is "one hundred one trillion, three hundred thirty billion, one hundred twenty-one million, thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 241 296 444 482 592 723 888 964 1163 1446 1776 1928 2326 2892 3489 3856 4652 5784 6978 8917 9304 11568 13956 17834 18608 26751 27912 35668 43031 53502 55824 71336 86062 107004 129093 142672 172124 203563 214008 258186 280283 344248 407126 428016 516372 560566 610689 688496 814252 840849 1032744 1121132 1221378 1628504 1681698 2065488 2242264 2442756 3257008 3363396 4484528 4885512 6726792 7531831 9771024 10370471 13453584 15063662 20740942 22595493 30127324 31111413 41481884 45190986 49058683 60254648 62222826 82963768 90381972 98117366 120509296 124445652 147176049 165927536 180763944 196234732 236743769 248891304 294352098 361527888 392469464 473487538 497782608 588704196 710231307 784938928 946975076 1177408392 1420462614 1815171271 1893950152 2354816784 2840925228 3630342542 3787900304 5445513813 5681850456 7260685084 8759519453 10891027626 11363700912 14521370168 17519038906 21782055252 26278558359 29042740336 35038077812 43564110504 52557116718 57055248329 70076155624 87128221008 105114233436 114110496658 140152311248 171165744987 210228466872 228220993316 342331489974 420456933744 456441986632 684662979948 912883973264 1369325959896 2111044188173 2738651919792 4222088376346 6333132564519 8444176752692 12666265129038 16888353505384 25332530258076 33776707010768 50665060516152 101330121032304