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10402113041431 = 4710723935324517
BaseRepresentation
bin1001011101011110111001…
…0000001011010000010111
31100211102200010212020201221
42113113232100023100113
52330412011414311211
634042355331031211
72122346025660046
oct227275620132027
940742603766657
1010402113041431
1133505696a1751
1211bbbba73b507
135a5bb849c727
1427d671bb455d
151308b20ccc71
hex975ee40b417

10402113041431 has 32 divisors (see below), whose sum is σ = 10798527467520. Its totient is φ = 10014584380416.

The previous prime is 10402113041393. The next prime is 10402113041461. The reversal of 10402113041431 is 13414031120401.

10402113041431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10402113041431 is a prime.

It is a super-2 number, since 2×104021130414312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10402113041396 and 10402113041405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402113041461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424269385 + ... + 424293901.

It is an arithmetic number, because the mean of its divisors is an integer number (337453983360).

Almost surely, 210402113041431 is an apocalyptic number.

10402113041431 is a deficient number, since it is larger than the sum of its proper divisors (396414426089).

10402113041431 is a wasteful number, since it uses less digits than its factorization.

10402113041431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25263.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10402113041431 its reverse (13414031120401), we get a palindrome (23816144161832).

The spelling of 10402113041431 in words is "ten trillion, four hundred two billion, one hundred thirteen million, forty-one thousand, four hundred thirty-one".

Divisors: 1 47 107 239 353 5029 11233 16591 24517 25573 37771 84367 1152299 1201931 1775237 2623319 3965249 5859563 8654501 9027269 123295993 275399461 406761547 424281643 626973241 926031607 2068425739 29467742327 43523485529 97216009733 221321554073 10402113041431