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32201131332 = 223173111345061
BaseRepresentation
bin11101111111010101…
…100100010101000100
310002010011002221220210
4131333111210111010
51011421442200312
622443141555420
72216655046236
oct357725442504
9102104087823
1032201131332
1112724776637
1262a8115b70
133062401686
1417b68dc256
15c86ebae3c
hex77f564544

32201131332 has 96 divisors (see below), whose sum is σ = 82850632704. Its totient is φ = 9689702400.

The previous prime is 32201131321. The next prime is 32201131337. The reversal of 32201131332 is 23313110223.

It is a junction number, because it is equal to n+sod(n) for n = 32201131299 and 32201131308.

It is not an unprimeable number, because it can be changed into a prime (32201131337) by changing a digit.

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, 692082 + ... + 737142.

It is an arithmetic number, because the mean of its divisors is an integer number (863027424).

Almost surely, 232201131332 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 32201131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41425316352).

32201131332 is an abundant number, since it is smaller than the sum of its proper divisors (50649501372).

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

32201131332 is a wasteful number, since it uses less digits than its factorization.

32201131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45229 (or 45227 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32201131332 its reverse (23313110223), we get a palindrome (55514241555).

The spelling of 32201131332 in words is "thirty-two billion, two hundred one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 113 124 186 204 226 339 372 452 527 678 1054 1356 1581 1921 2108 3162 3503 3842 5763 6324 7006 7684 10509 11526 14012 21018 23052 42036 45061 59551 90122 119102 135183 178653 180244 238204 270366 357306 540732 714612 766037 1396891 1532074 2298111 2793782 3064148 4190673 4596222 5091893 5587564 8381346 9192444 10183786 15275679 16762692 20367572 23747147 30551358 47494294 61102716 71241441 86562181 94988588 142482882 157848683 173124362 259686543 284965764 315697366 346248724 473546049 519373086 631394732 947092098 1038746172 1894184196 2683427611 5366855222 8050282833 10733710444 16100565666 32201131332