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313323132231 = 33293710815061
BaseRepresentation
bin1001000111100111000…
…00111001010101000111
31002221202000202021022000
410203303200321111013
520113141210212411
6355534430040343
731431303452424
oct4436340712507
91087660667260
10313323132231
1111097481578a
12508833490b3
132371413a3c5
1411244782d4b
15823c18d956
hex48f3839547

313323132231 has 32 divisors (see below), whose sum is σ = 493166827200. Its totient is φ = 196228448640.

The previous prime is 313323132181. The next prime is 313323132257. The reversal of 313323132231 is 132231323313.

313323132231 is a `hidden beast` number, since 3 + 1 + 332 + 3 + 1 + 322 + 3 + 1 = 666.

It is not a de Polignac number, because 313323132231 - 27 = 313323132103 is a prime.

It is a super-2 number, since 2×3133231322312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313323132195 and 313323132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313323132931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5378560 + ... + 5436501.

It is an arithmetic number, because the mean of its divisors is an integer number (15411463350).

Almost surely, 2313323132231 is an apocalyptic number.

313323132231 is a deficient number, since it is larger than the sum of its proper divisors (179843694969).

313323132231 is a wasteful number, since it uses less digits than its factorization.

313323132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10815136 (or 10815130 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 313323132231 its reverse (132231323313), we get a palindrome (445554455544).

The spelling of 313323132231 in words is "three hundred thirteen billion, three hundred twenty-three million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 29 37 87 111 261 333 783 999 1073 3219 9657 28971 10815061 32445183 97335549 292006647 313636769 400157257 940910307 1200471771 2822730921 3601415313 8468192763 10804245939 11604560453 34813681359 104441044077 313323132231