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32311332132 = 223171915155207
BaseRepresentation
bin11110000101111001…
…111100110100100100
310002101211110201222220
4132011321330310210
51012133200112012
622502115552340
72222463535332
oct360571746444
9102354421886
1032311332132
11127809a5082
126318bbb6b0
13307c1a7251
1417c73c6b52
15c919d808c
hex785e7cd24

32311332132 has 96 divisors (see below), whose sum is σ = 84587489280. Its totient is φ = 9539596800.

The previous prime is 32311332103. The next prime is 32311332203. The reversal of 32311332132 is 23123311323.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557673 + ... + 612879.

It is an arithmetic number, because the mean of its divisors is an integer number (881119680).

Almost surely, 232311332132 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 32311332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42293744640).

32311332132 is an abundant number, since it is smaller than the sum of its proper divisors (52276157148).

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

32311332132 is a wasteful number, since it uses less digits than its factorization.

32311332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55401 (or 55399 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 32311332132 its reverse (23123311323), we get a palindrome (55434643455).

The spelling of 32311332132 in words is "thirty-two billion, three hundred eleven million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 151 204 228 302 323 453 604 646 906 969 1292 1812 1938 2567 2869 3876 5134 5738 7701 8607 10268 11476 15402 17214 30804 34428 48773 55207 97546 110414 146319 165621 195092 220828 292638 331242 585276 662484 938519 1048933 1877038 2097866 2815557 3146799 3754076 4195732 5631114 6293598 8336257 11262228 12587196 16672514 17831861 25008771 33345028 35663722 50017542 53495583 71327444 100035084 106991166 141716369 158388883 213982332 283432738 316777766 425149107 475166649 566865476 633555532 850298214 950333298 1700596428 1900666596 2692611011 5385222022 8077833033 10770444044 16155666066 32311332132