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31332130101333 = 32171692411210021
BaseRepresentation
bin1110001111111000101000…
…11111000001100001010101
311002221022201000111110210100
413013330110133001201111
513101321200301220313
6150345440514244313
76412446251413455
oct707742437014125
9132838630443710
1031332130101333
119a8a9776849a6
123620462b86699
1314637b7cc8769
147a46a9c23d65
15395049839173
hex1c7f147c1855

31332130101333 has 24 divisors (see below), whose sum is σ = 47920051137816. Its totient is φ = 19659243340800.

The previous prime is 31332130101301. The next prime is 31332130101359. The reversal of 31332130101333 is 33310103123313.

31332130101333 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 21 + 301 + 0 + 1 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15076702734129 + 16255427367204 = 3882873^2 + 4031802^2 .

It is not a de Polignac number, because 31332130101333 - 25 = 31332130101301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31332130101297 and 31332130101306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31332130103333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25288863 + ... + 26498883.

It is an arithmetic number, because the mean of its divisors is an integer number (1996668797409).

Almost surely, 231332130101333 is an apocalyptic number.

It is an amenable number.

31332130101333 is a deficient number, since it is larger than the sum of its proper divisors (16587921036483).

31332130101333 is a wasteful number, since it uses less digits than its factorization.

31332130101333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379285 (or 1379282 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 31332130101333 its reverse (33310103123313), we get a palindrome (64642233224646).

The spelling of 31332130101333 in words is "thirty-one trillion, three hundred thirty-two billion, one hundred thirty million, one hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 169241 507723 1210021 1523169 2877097 3630063 8631291 10890189 20570357 25893873 61711071 185133213 204785164061 614355492183 1843066476549 3481347789037 10444043367111 31332130101333