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32131001097 = 32131361201781
BaseRepresentation
bin11101111011001010…
…000010101100001001
310001221021010222022200
4131323022002230021
51011301014013342
622432154510413
72215144001016
oct357312025411
9101837128280
1032131001097
1112699126768
126288735409
133050a187b0
1417ab48470d
15c80c6694c
hex77b282b09

32131001097 has 24 divisors (see below), whose sum is σ = 50018529288. Its totient is φ = 19758297600.

The previous prime is 32131001053. The next prime is 32131001171. The reversal of 32131001097 is 79010013123.

It can be written as a sum of positive squares in 4 ways, for example, as 1742144121 + 30388856976 = 41739^2 + 174324^2 .

It is not a de Polignac number, because 32131001097 - 26 = 32131001033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32131001097.

It is not an unprimeable number, because it can be changed into a prime (32131001017) 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 23 ways as a sum of consecutive naturals, for example, 58347 + ... + 260127.

It is an arithmetic number, because the mean of its divisors is an integer number (2084105387).

Almost surely, 232131001097 is an apocalyptic number.

It is an amenable number.

32131001097 is a deficient number, since it is larger than the sum of its proper divisors (17887528191).

32131001097 is a wasteful number, since it uses less digits than its factorization.

32131001097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203161 (or 203158 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 32131001097 in words is "thirty-two billion, one hundred thirty-one million, one thousand, ninety-seven".

Divisors: 1 3 9 13 39 117 1361 4083 12249 17693 53079 159237 201781 605343 1816029 2623153 7869459 23608377 274623941 823871823 2471615469 3570111233 10710333699 32131001097