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12431142022234 = 213297543769737
BaseRepresentation
bin1011010011100101100111…
…0011011110110001011010
31122000101221122212010011011
42310321121303132301122
53112132434324202414
642234442055524134
72422056200515165
oct264713163366132
948011848763134
1012431142022234
113a63021657461
1214892a438964a
136c2336b97b00
1430d955b46adc
15168568829dc4
hexb4e59cdec5a

12431142022234 has 48 divisors (see below), whose sum is σ = 20403614597688. Its totient is φ = 5677175402496.

The previous prime is 12431142022213. The next prime is 12431142022283. The reversal of 12431142022234 is 43222024113421.

It can be written as a sum of positive squares in 12 ways, for example, as 1039869009 + 12430102153225 = 32247^2 + 3525635^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12431142022196 and 12431142022205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178222614 + ... + 178292350.

Almost surely, 212431142022234 is an apocalyptic number.

12431142022234 is a deficient number, since it is larger than the sum of its proper divisors (7972472575454).

12431142022234 is a wasteful number, since it uses less digits than its factorization.

12431142022234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75299 (or 75286 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 12431142022234 its reverse (43222024113421), we get a palindrome (55653166135655).

The spelling of 12431142022234 in words is "twelve trillion, four hundred thirty-one billion, one hundred forty-two million, twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 13 26 97 169 194 338 1261 2522 5437 10874 16393 32786 69737 70681 139474 141362 527389 906581 918853 1054778 1813162 1837706 6764489 6856057 11785553 13528978 13712114 23571106 87938357 89128741 175876714 178257482 379160069 758320138 1143198641 2286397282 4929080897 9858161794 36778526693 64078051661 73557053386 128156103322 478120847009 956241694018 6215571011117 12431142022234