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31215212442 = 232191371733851
BaseRepresentation
bin11101000100100100…
…100101011110011010
32222120102221002110100
4131010210211132122
51002412043244232
622201242200230
72153353633161
oct350444453632
988512832410
1031215212442
11122691a0137
126071ab3076
132c3608480b
1417219b83d8
15c2a66bc7c
hex74492579a

31215212442 has 96 divisors (see below), whose sum is σ = 72145494720. Its totient is φ = 9726393600.

The previous prime is 31215212419. The next prime is 31215212489. The reversal of 31215212442 is 24421251213.

31215212442 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 5 + 212 + 442 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8103817 + ... + 8107667.

It is an arithmetic number, because the mean of its divisors is an integer number (751515570).

Almost surely, 231215212442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31215212442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072747360).

31215212442 is an abundant number, since it is smaller than the sum of its proper divisors (40930282278).

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

31215212442 is a wasteful number, since it uses less digits than its factorization.

31215212442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4185 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 31215212442 its reverse (24421251213), we get a palindrome (55636463655).

The spelling of 31215212442 in words is "thirty-one billion, two hundred fifteen million, two hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 173 274 342 346 411 519 822 1038 1233 1557 2466 2603 3114 3287 3851 5206 6574 7702 7809 9861 11553 15618 19722 23106 23427 23701 29583 34659 46854 47402 59166 69318 71103 73169 142206 146338 213309 219507 426618 439014 450319 527587 658521 666223 900638 1055174 1317042 1332446 1350957 1582761 1998669 2701914 3165522 3997338 4052871 4748283 5996007 8105742 9496566 10024153 11992014 12658237 20048306 25316474 30072459 37974711 60144918 75949422 90217377 91272551 113924133 180434754 182545102 227848266 273817653 547635306 821452959 1642905918 1734178469 3468356938 5202535407 10405070814 15607606221 31215212442