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10165431431 = 156725432551
BaseRepresentation
bin10010111011110100…
…00010110010000111
3222020110001102101102
421131322002302013
5131304322301211
64400412250315
7506623512221
oct113572026207
928213042342
1010165431431
114347137101
121b7847099b
13c600601ac
146c6107411
153e7689a3b
hex25de82c87

10165431431 has 8 divisors (see below), whose sum is σ = 10179907584. Its totient is φ = 10150968600.

The previous prime is 10165431359. The next prime is 10165431443. The reversal of 10165431431 is 13413456101.

10165431431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10165431431 - 226 = 10098322567 is a prime.

It is a super-2 number, since 2×101654314312 (a number of 21 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 = 10165431394 and 10165431403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165431131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3983606 + ... + 3986156.

It is an arithmetic number, because the mean of its divisors is an integer number (1272488448).

Almost surely, 210165431431 is an apocalyptic number.

10165431431 is a deficient number, since it is larger than the sum of its proper divisors (14476153).

10165431431 is a wasteful number, since it uses less digits than its factorization.

10165431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10165431431 its reverse (13413456101), we get a palindrome (23578887532).

The spelling of 10165431431 in words is "ten billion, one hundred sixty-five million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 1567 2543 2551 3984881 3997417 6487193 10165431431