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31123110321 = 327347371553
BaseRepresentation
bin11100111111000101…
…001111100110110001
32222100000121211002200
4130333011033212301
51002220004012241
622144152133413
72151155033652
oct347705174661
988300554080
1031123110321
1112221203486
126047097269
132c1cc77b14
141713681529
15c225274b6
hex73f14f9b1

31123110321 has 12 divisors (see below), whose sum is σ = 45571434948. Its totient is φ = 20464510464.

The previous prime is 31123110311. The next prime is 31123110367. The reversal of 31123110321 is 12301132113.

31123110321 is a `hidden beast` number, since 31 + 1 + 2 + 311 + 0 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21443502096 + 9679608225 = 146436^2 + 98385^2 .

It is a de Polignac number, because none of the positive numbers 2k-31123110321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31123110294 and 31123110303.

It is not an unprimeable number, because it can be changed into a prime (31123110311) 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, 23685120 + ... + 23686433.

It is an arithmetic number, because the mean of its divisors is an integer number (3797619579).

Almost surely, 231123110321 is an apocalyptic number.

It is an amenable number.

31123110321 is a deficient number, since it is larger than the sum of its proper divisors (14448324627).

31123110321 is a wasteful number, since it uses less digits than its factorization.

31123110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47371632 (or 47371629 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31123110321 its reverse (12301132113), we get a palindrome (43424242434).

The spelling of 31123110321 in words is "thirty-one billion, one hundred twenty-three million, one hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 9 73 219 657 47371553 142114659 426343977 3458123369 10374370107 31123110321