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31330220031 = 32111953314267
BaseRepresentation
bin11101001011011011…
…010011011111111111
32222212110100002012200
4131023123103133333
51003131014020111
622220511202543
72156251322235
oct351333233777
988773302180
1031330220031
1112318102030
1260a4516453
132c53b51246
141732d94955
15c357d8256
hex74b6d37ff

31330220031 has 48 divisors (see below), whose sum is σ = 52947872640. Its totient is φ = 17649178560.

The previous prime is 31330220027. The next prime is 31330220041. The reversal of 31330220031 is 13002203313.

31330220031 is a `hidden beast` number, since 313 + 302 + 20 + 0 + 31 = 666.

It is not a de Polignac number, because 31330220031 - 22 = 31330220027 is a prime.

It is a super-2 number, since 2×313302200312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31330219986 and 31330220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31330220041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57441 + ... + 256826.

It is an arithmetic number, because the mean of its divisors is an integer number (1103080680).

Almost surely, 231330220031 is an apocalyptic number.

31330220031 is a deficient number, since it is larger than the sum of its proper divisors (21617652609).

31330220031 is a wasteful number, since it uses less digits than its factorization.

31330220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314356 (or 314353 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31330220031 its reverse (13002203313), we get a palindrome (44332423344).

It can be divided in two parts, 313302 and 20031, that added together give a palindrome (333333).

The spelling of 31330220031 in words is "thirty-one billion, three hundred thirty million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 19 33 53 57 99 159 171 209 477 583 627 1007 1749 1881 3021 5247 9063 11077 33231 99693 314267 942801 2828403 3456937 5971073 10370811 16656151 17913219 31112433 49968453 53739657 65681803 149905359 183217661 197045409 316466869 549652983 591136227 949400607 1648958949 2848201821 3481135559 10443406677 31330220031