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32313114132 = 223131634013169
BaseRepresentation
bin11110000110000000…
…101111111000010100
310002101221211021102220
4132012000233320110
51012134124123012
622502222102340
72222514636555
oct360600577024
9102357737386
1032313114132
1112781a01a02
12631971a9b0
13307c67c3a0
1417c772c32c
15c91c3b08c
hex78602fe14

32313114132 has 96 divisors (see below), whose sum is σ = 81924769920. Its totient is φ = 9853747200.

The previous prime is 32313114107. The next prime is 32313114167. The reversal of 32313114132 is 23141131323.

It is a super-2 number, since 2×323131141322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10195044 + ... + 10198212.

It is an arithmetic number, because the mean of its divisors is an integer number (853383020).

Almost surely, 232313114132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40962384960).

32313114132 is an abundant number, since it is smaller than the sum of its proper divisors (49611655788).

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

32313114132 is a wasteful number, since it uses less digits than its factorization.

32313114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3751 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 32313114132 its reverse (23141131323), we get a palindrome (55454245455).

The spelling of 32313114132 in words is "thirty-two billion, three hundred thirteen million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 163 326 401 489 652 802 978 1203 1604 1956 2119 2406 3169 4238 4812 5213 6338 6357 8476 9507 10426 12676 12714 15639 19014 20852 25428 31278 38028 41197 62556 65363 82394 123591 130726 164788 196089 247182 261452 392178 494364 516547 784356 849719 1033094 1270769 1549641 1699438 2066188 2541538 2549157 3099282 3398876 3812307 5083076 5098314 6198564 6715111 7624614 10196628 13430222 15249228 16519997 20145333 26860444 33039994 40290666 49559991 66079988 80581332 99119982 198239964 207135347 414270694 621406041 828541388 1242812082 2485624164 2692759511 5385519022 8078278533 10771038044 16156557066 32313114132