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542225012310 = 2325191197160117
BaseRepresentation
bin1111110001111110010…
…00010001011001010110
31220211120121000120211100
413320333020101121112
532340434100343220
61053032243450530
754113561362452
oct7707710213126
91824517016740
10542225012310
11199a5797a193
1289106086a46
133c19317b667
141c35b0dd662
15e187b27d90
hex7e3f211656

542225012310 has 96 divisors (see below), whose sum is σ = 1424368737792. Its totient is φ = 143105276160.

The previous prime is 542225012267. The next prime is 542225012321. The reversal of 542225012310 is 13210522245.

542225012310 is a `hidden beast` number, since 5 + 422 + 2 + 5 + 0 + 1 + 231 + 0 = 666.

It is a super-2 number, since 2×5422250123102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306372 + ... + 3466488.

It is an arithmetic number, because the mean of its divisors is an integer number (14837174352).

Almost surely, 2542225012310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542225012310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712184368896).

542225012310 is an abundant number, since it is smaller than the sum of its proper divisors (882143725482).

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

542225012310 is a wasteful number, since it uses less digits than its factorization.

542225012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160518 (or 160515 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 542225012310 its reverse (13210522245), we get a palindrome (555435534555).

The spelling of 542225012310 in words is "five hundred forty-two billion, two hundred twenty-five million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 197 382 394 573 591 955 985 1146 1182 1719 1773 1910 1970 2865 2955 3438 3546 5730 5910 8595 8865 17190 17730 37627 75254 112881 160117 188135 225762 320234 338643 376270 480351 564405 677286 800585 960702 1128810 1441053 1601170 1693215 2401755 2882106 3386430 4803510 7205265 14410530 30582347 31543049 61164694 63086098 91747041 94629147 152911735 157715245 183494082 189258294 275241123 283887441 305823470 315430490 458735205 473145735 550482246 567774882 917470410 946291470 1376205615 1419437205 2752411230 2838874410 6024722359 12049444718 18074167077 30123611795 36148334154 54222501231 60247223590 90370835385 108445002462 180741670770 271112506155 542225012310