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31132123001 = 73172314063
BaseRepresentation
bin11100111111100111…
…100111111101111001
32222100122120201011122
4130333213213331321
51002224310414001
622145113235025
72151324452000
oct347747477571
988318521148
1031132123001
11122262a9881
12604a102a75
132c21ab2175
141714949c37
15c23207b1b
hex73f9e7f79

31132123001 has 24 divisors (see below), whose sum is σ = 38567059200. Its totient is φ = 25114910016.

The previous prime is 31132122997. The next prime is 31132123003. The reversal of 31132123001 is 10032123113.

It is not a de Polignac number, because 31132123001 - 22 = 31132122997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31132123003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57905 + ... + 256158.

It is an arithmetic number, because the mean of its divisors is an integer number (1606960800).

Almost surely, 231132123001 is an apocalyptic number.

It is an amenable number.

31132123001 is a deficient number, since it is larger than the sum of its proper divisors (7434936199).

31132123001 is an equidigital number, since it uses as much as digits as its factorization.

31132123001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314118 (or 314087 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31132123001 its reverse (10032123113), we get a palindrome (41164246114).

The spelling of 31132123001 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty-three thousand, one".

Divisors: 1 7 17 49 119 289 343 833 2023 5831 14161 99127 314063 2198441 5339071 15389087 37373497 90764207 107723609 261614479 635349449 1831301353 4447446143 31132123001