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10405432531 = 138310790127
BaseRepresentation
bin10011011000011011…
…00100110011010011
3222212011122202000001
421230031210303103
5132302242320111
64440304310431
7515566500664
oct115415446323
928764582001
1010405432531
11445a66051a
122024912417
13c9a9b1690
14709d3d36b
1540d7961c1
hex26c364cd3

10405432531 has 16 divisors (see below), whose sum is σ = 11446977024. Its totient is φ = 9400502304.

The previous prime is 10405432511. The next prime is 10405432547. The reversal of 10405432531 is 13523450401.

10405432531 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 not a de Polignac number, because 10405432531 - 29 = 10405432019 is a prime.

It is a super-2 number, since 2×104054325312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10405432531.

It is not an unprimeable number, because it can be changed into a prime (10405432501) 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 15 ways as a sum of consecutive naturals, for example, 70390 + ... + 160516.

It is an arithmetic number, because the mean of its divisors is an integer number (715436064).

Almost surely, 210405432531 is an apocalyptic number.

10405432531 is a deficient number, since it is larger than the sum of its proper divisors (1041544493).

10405432531 is a wasteful number, since it uses less digits than its factorization.

10405432531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90330.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10405432531 its reverse (13523450401), we get a palindrome (23928882932).

The spelling of 10405432531 in words is "ten billion, four hundred five million, four hundred thirty-two thousand, five hundred thirty-one".

Divisors: 1 13 83 107 1079 1391 8881 90127 115453 1171651 7480541 9643589 97247033 125366657 800417887 10405432531