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31123232001 = 32171228916553
BaseRepresentation
bin11100111111000101…
…101101010100000001
32222100000212000000100
4130333011231110001
51002220021411001
622144154513013
72151156051501
oct347705552401
988300760010
1031123232001
1112221286944
126047135769
132c1ccbb314
1417136b3a01
15c2254d586
hex73f16d501

31123232001 has 24 divisors (see below), whose sum is σ = 47606986440. Its totient is φ = 19525533696.

The previous prime is 31123231991. The next prime is 31123232027. The reversal of 31123232001 is 10023232113.

31123232001 is a `hidden beast` number, since 311 + 2 + 32 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21956126976 + 9167105025 = 148176^2 + 95745^2 .

It is a de Polignac number, because none of the positive numbers 2k-31123232001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31123232081) 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, 1871941 + ... + 1888493.

It is an arithmetic number, because the mean of its divisors is an integer number (1983624435).

Almost surely, 231123232001 is an apocalyptic number.

It is an amenable number.

31123232001 is a deficient number, since it is larger than the sum of its proper divisors (16483754439).

31123232001 is a wasteful number, since it uses less digits than its factorization.

31123232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28865 (or 28862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31123232001 its reverse (10023232113), we get a palindrome (41146464114).

The spelling of 31123232001 in words is "thirty-one billion, one hundred twenty-three million, two hundred thirty-two thousand, one".

Divisors: 1 3 9 17 51 153 12289 16553 36867 49659 110601 148977 208913 281401 626739 844203 1880217 2532609 203419817 610259451 1830778353 3458136889 10374410667 31123232001