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12313030321323 = 333721633735479
BaseRepresentation
bin1011001100101101100111…
…0011000110010010101011
31121121010002020212001001000
42303023121303012102223
53103214041230240243
642104310020130043
72410405240600014
oct263133163062253
947533066761030
1012313030321323
113a17a216863a6
12146a420b36923
136b4162c784a4
14307d4d50000b
151654545205d3
hexb32d9cc64ab

12313030321323 has 96 divisors (see below), whose sum is σ = 18916905638400. Its totient is φ = 7915105579392.

The previous prime is 12313030321243. The next prime is 12313030321477. The reversal of 12313030321323 is 32312303031321.

12313030321323 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 30 + 303 + 2 + 1 + 323 = 666.

It is not a de Polignac number, because 12313030321323 - 213 = 12313030313131 is a prime.

It is a super-2 number, since 2×123130303213232 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12313030321723) 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 95 ways as a sum of consecutive naturals, for example, 2247310698 + ... + 2247316176.

It is an arithmetic number, because the mean of its divisors is an integer number (197051100400).

Almost surely, 212313030321323 is an apocalyptic number.

12313030321323 is a deficient number, since it is larger than the sum of its proper divisors (6603875317077).

12313030321323 is a wasteful number, since it uses less digits than its factorization.

12313030321323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6055 counting only the distinct ones).

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

Adding to 12313030321323 its reverse (32312303031321), we get a palindrome (44625333352644).

The spelling of 12313030321323 in words is "twelve trillion, three hundred thirteen billion, thirty million, three hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 27 37 111 163 333 373 489 999 1119 1369 1467 3357 4107 4401 5479 6031 10071 12321 13801 16437 18093 36963 41403 49311 54279 60799 124209 147933 162837 182397 202723 223147 372627 510637 547191 608169 669441 893077 1531911 1641573 1824507 2008323 2043667 2249563 2679231 4595733 5473521 6024969 6131001 6748689 7500751 8037693 13787199 18393003 20246067 22502253 24113079 33043849 55179009 60738201 67506759 75615679 83233831 99131547 202520277 226847037 249701493 297394641 333117721 680541111 749104479 892183923 999353163 1222622413 2041623333 2247313437 2797780123 2998059489 3667867239 8393340369 8994178467 11003601717 12325355677 25180021107 33010805151 36976067031 75540063321 110928201093 332784603279 456038160049 1368114480147 4104343440441 12313030321323