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123331310031432 = 23337339293506479
BaseRepresentation
bin11100000010101101001110…
…111011001001001001001000
3121011200100200001022201210110
4130002231032323021021020
5112131130010332001212
61114145342140114320
734656251556223236
oct3402551673111110
9534610601281713
10123331310031432
113632a5732aa218
12119ba5262359a0
1353a812868b499
1422653a54c5956
15e3d1e51a4a3c
hex702b4eec9248

123331310031432 has 64 divisors (see below), whose sum is σ = 309233666016000. Its totient is φ = 40989774057984.

The previous prime is 123331310031431. The next prime is 123331310031469. The reversal of 123331310031432 is 234130013133321.

It is a happy number.

It is a super-2 number, since 2×1233313100314322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123331310031432.

It is not an unprimeable number, because it can be changed into a prime (123331310031431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33419169 + ... + 36925647.

It is an arithmetic number, because the mean of its divisors is an integer number (4831776031500).

Almost surely, 2123331310031432 is an apocalyptic number.

123331310031432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123331310031432 is an abundant number, since it is smaller than the sum of its proper divisors (185902355984568).

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

123331310031432 is a wasteful number, since it uses less digits than its factorization.

123331310031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510790 (or 3510786 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 123331310031432 its reverse (234130013133321), we get a palindrome (357461323164753).

The spelling of 123331310031432 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, three hundred ten million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 373 746 1119 1492 2238 2984 3929 4476 7858 8952 11787 15716 23574 31432 47148 94296 1465517 2931034 3506479 4396551 5862068 7012958 8793102 10519437 11724136 14025916 17586204 21038874 28051832 35172408 42077748 84155496 1307916667 2615833334 3923750001 5231666668 7847500002 10463333336 13776955991 15695000004 27553911982 31390000008 41330867973 55107823964 82661735946 110215647928 165323471892 330646943784 5138804584643 10277609169286 15416413753929 20555218338572 30832827507858 41110436677144 61665655015716 123331310031432