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31134422412 = 22333722334939
BaseRepresentation
bin11100111111110000…
…011001010110001100
32222100210220112101000
4130333300121112030
51002230403004122
622145234420300
72151353136552
oct347760312614
988323815330
1031134422412
111222762a415
12604aa31690
132c22408972
141714d87bd2
15c2350e0ac
hex73fc1958c

31134422412 has 96 divisors (see below), whose sum is σ = 83274598400. Its totient is φ = 10052081856.

The previous prime is 31134422399. The next prime is 31134422461. The reversal of 31134422412 is 21422443113.

31134422412 is a `hidden beast` number, since 311 + 344 + 2 + 2 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873639 + ... + 908577.

Almost surely, 231134422412 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 31134422412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41637299200).

31134422412 is an abundant number, since it is smaller than the sum of its proper divisors (52140175988).

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

31134422412 is a wasteful number, since it uses less digits than its factorization.

31134422412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35212 (or 35204 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 31134422412 its reverse (21422443113), we get a palindrome (52556865525).

The spelling of 31134422412 in words is "thirty-one billion, one hundred thirty-four million, four hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 223 333 444 446 666 669 892 999 1332 1338 1998 2007 2676 3996 4014 6021 8028 8251 12042 16502 24084 24753 33004 34939 49506 69878 74259 99012 104817 139756 148518 209634 222777 297036 314451 419268 445554 628902 891108 943353 1257804 1292743 1886706 2585486 3773412 3878229 5170972 7756458 7791397 11634687 15512916 15582794 23269374 23374191 31165588 34904061 46538748 46748382 69808122 70122573 93496764 139616244 140245146 210367719 280490292 288281689 420735438 576563378 841470876 864845067 1153126756 1729690134 2594535201 3459380268 5189070402 7783605603 10378140804 15567211206 31134422412