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32313120093 = 3217320753449
BaseRepresentation
bin11110000110000000…
…110001010101011101
310002101221211120121200
4132012000301111131
51012134124320333
622502222150113
72222514663132
oct360600612535
9102357746550
1032313120093
1112781a06431
126319722339
13307c682007
1417c7730589
15c91c3cc13
hex78603155d

32313120093 has 12 divisors (see below), whose sum is σ = 46944303900. Its totient is φ = 21417558336.

The previous prime is 32313120043. The next prime is 32313120097. The reversal of 32313120093 is 39002131323.

32313120093 is a `hidden beast` number, since 323 + 131 + 200 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22751800569 + 9561319524 = 150837^2 + 97782^2 .

It is not a de Polignac number, because 32313120093 - 29 = 32313119581 is a prime.

It is a super-3 number, since 3×323131200933 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32313120097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10375168 + ... + 10378281.

It is an arithmetic number, because the mean of its divisors is an integer number (3912025325).

Almost surely, 232313120093 is an apocalyptic number.

It is an amenable number.

32313120093 is a deficient number, since it is larger than the sum of its proper divisors (14631183807).

32313120093 is a wasteful number, since it uses less digits than its factorization.

32313120093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20753628 (or 20753625 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 32313120093 in words is "thirty-two billion, three hundred thirteen million, one hundred twenty thousand, ninety-three".

Divisors: 1 3 9 173 519 1557 20753449 62260347 186781041 3590346677 10771040031 32313120093