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313103331000032 = 2529379391889309
BaseRepresentation
bin100011100110001000000110…
…0110100100111111011100000
31112001121101102110221210101212
41013030100030310213323200
5312014341110214000112
63025525403510445252
7122643653265324356
oct10714201464477340
91461541373853355
10313103331000032
1190845416842a01
122b149634063828
1310592695a171b1
1457463d40477d6
15262e8098a8522
hex11cc40cd27ee0

313103331000032 has 48 divisors (see below), whose sum is σ = 637680518092800. Its totient is φ = 151152763829760.

The previous prime is 313103331000011. The next prime is 313103331000071. The reversal of 313103331000032 is 230000133301313.

It is a super-2 number, since 2×3131033310000322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313103330999971 and 313103331000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351630194 + ... + 352519502.

It is an arithmetic number, because the mean of its divisors is an integer number (13285010793600).

Almost surely, 2313103331000032 is an apocalyptic number.

313103331000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313103331000032 is an abundant number, since it is smaller than the sum of its proper divisors (324577187092768).

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

313103331000032 is a wasteful number, since it uses less digits than its factorization.

313103331000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268739 (or 1268731 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 313103331000032 its reverse (230000133301313), we get a palindrome (543103464301345).

The spelling of 313103331000032 in words is "three hundred thirteen trillion, one hundred three billion, three hundred thirty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 379391 758782 889309 1517564 1778618 3035128 3557236 6070256 7114472 11002339 12140512 14228944 22004678 25789961 28457888 44009356 51579922 88018712 103159844 176037424 206319688 352074848 412639376 825278752 337395830819 674791661638 1349583323276 2699166646552 5398333293104 9784479093751 10796666586208 19568958187502 39137916375004 78275832750008 156551665500016 313103331000032