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10341432132 = 22323294131513
BaseRepresentation
bin10011010000110010…
…11011101101000100
3222200201020011221220
421220121123231010
5132134401312012
64430100440340
7514161502623
oct115031335504
928621204856
1010341432132
114427518029
1220073a90b0
13c8a663915
1470163d6ba
15407d5308c
hex26865bb44

10341432132 has 96 divisors (see below), whose sum is σ = 26683534080. Its totient is φ = 3105822720.

The previous prime is 10341432131. The next prime is 10341432139. The reversal of 10341432132 is 23123414301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10341432131) 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, 312408 + ... + 343920.

It is an arithmetic number, because the mean of its divisors is an integer number (277953480).

Almost surely, 210341432132 is an apocalyptic number.

10341432132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10341432132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341767040).

10341432132 is an abundant number, since it is smaller than the sum of its proper divisors (16342101948).

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

10341432132 is a wasteful number, since it uses less digits than its factorization.

10341432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31613 (or 31611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10341432132 its reverse (23123414301), we get a palindrome (33464846433).

The spelling of 10341432132 in words is "ten billion, three hundred forty-one million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 29 41 46 58 69 82 87 92 116 123 138 164 174 246 276 348 492 667 943 1189 1334 1886 2001 2378 2668 2829 3567 3772 4002 4756 5658 7134 8004 11316 14268 27347 31513 54694 63026 82041 94539 109388 126052 164082 189078 328164 378156 724799 913877 1292033 1449598 1827754 2174397 2584066 2741631 2899196 3655508 3876099 4348794 5168132 5483262 7752198 8697588 10966524 15504396 21019171 29716759 37468957 42038342 59433518 63057513 74937914 84076684 89150277 112406871 118867036 126115026 149875828 178300554 224813742 252230052 356601108 449627484 861786011 1723572022 2585358033 3447144044 5170716066 10341432132