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312331300232 = 23724491774529
BaseRepresentation
bin1001000101110000110…
…01010110110110001000
31002212011220102222120112
410202320121112312020
520104123303101412
6355252155413452
731364601151100
oct4427031266610
91085156388515
10312331300232
11110505970716
1250647154288
13235b67ccc73
141118cb60200
1581d0072722
hex48b8656d88

312331300232 has 48 divisors (see below), whose sum is σ = 682750417500. Its totient is φ = 133558075392.

The previous prime is 312331300163. The next prime is 312331300243. The reversal of 312331300232 is 232003133213.

It can be written as a sum of positive squares in 2 ways, for example, as 309209396356 + 3121903876 = 556066^2 + 55874^2 .

It is a super-2 number, since 2×3123313002322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312331300198 and 312331300207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711257 + ... + 1063272.

Almost surely, 2312331300232 is an apocalyptic number.

It is an amenable number.

312331300232 is an abundant number, since it is smaller than the sum of its proper divisors (370419117268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312331300232 is a wasteful number, since it uses less digits than its factorization.

312331300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774998 (or 1774987 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 312331300232 its reverse (232003133213), we get a palindrome (544334433445).

The spelling of 312331300232 in words is "three hundred twelve billion, three hundred thirty-one million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 449 898 1796 3143 3592 6286 12572 22001 25144 44002 88004 176008 1774529 3549058 7098116 12421703 14196232 24843406 49686812 86951921 99373624 173903842 347807684 695615368 796763521 1593527042 3187054084 5577344647 6374108168 11154689294 22309378588 39041412529 44618757176 78082825058 156165650116 312331300232