Search a number
-
+
31331032033 = 724152329819
BaseRepresentation
bin11101001011011110…
…011001101111100001
32222212111212100001211
4131023132121233201
51003131221011113
622220540430121
72156261243500
oct351336315741
988774770054
1031331032033
1112318607104
1260a4848341
132c54076a12
141733126837
15c358e8b3d
hex74b799be1

31331032033 has 24 divisors (see below), whose sum is σ = 37407877920. Its totient is φ = 26149193280.

The previous prime is 31331032027. The next prime is 31331032069. The reversal of 31331032033 is 33023013313.

It is not a de Polignac number, because 31331032033 - 217 = 31330900961 is a prime.

It is a super-2 number, since 2×313310320332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31331031995 and 31331032013.

It is not an unprimeable number, because it can be changed into a prime (31331032333) 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, 1035798 + ... + 1065616.

It is an arithmetic number, because the mean of its divisors is an integer number (1558661580).

Almost surely, 231331032033 is an apocalyptic number.

It is an amenable number.

31331032033 is a deficient number, since it is larger than the sum of its proper divisors (6076845887).

31331032033 is a wasteful number, since it uses less digits than its factorization.

31331032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30397 (or 30390 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 31331032033 its reverse (33023013313), we get a palindrome (64354045346).

The spelling of 31331032033 in words is "thirty-one billion, three hundred thirty-one million, thirty-two thousand, thirty-three".

Divisors: 1 7 41 49 287 523 2009 3661 21443 25627 29819 150101 208733 1050707 1222579 1461131 8558053 15595337 59906371 109167359 639408817 764171513 4475861719 31331032033