Search a number
-
+
12313124014023 = 337234169086749
BaseRepresentation
bin1011001100101101111101…
…1000100000011111000111
31121121010022210011010021000
42303023133120200133013
53103214234221422043
642104323204224343
72410410456142410
oct263133730403707
947533283133230
1012313124014023
113a17a6a55a088
12146a44839b0b3
136b41794c1161
14307d5bb2c807
1516545c87b2d3
hexb32df6207c7

12313124014023 has 64 divisors (see below), whose sum is σ = 22284622080000. Its totient is φ = 6566004529920.

The previous prime is 12313124014003. The next prime is 12313124014039. The reversal of 12313124014023 is 32041042131321.

12313124014023 is a `hidden beast` number, since 1 + 2 + 3 + 13 + 1 + 240 + 1 + 402 + 3 = 666.

It is not a de Polignac number, because 12313124014023 - 217 = 12313123882951 is a prime.

It is a super-2 number, since 2×123131240140232 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313124014003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34365148 + ... + 34721601.

It is an arithmetic number, because the mean of its divisors is an integer number (348197220000).

Almost surely, 212313124014023 is an apocalyptic number.

12313124014023 is a deficient number, since it is larger than the sum of its proper divisors (9971498065977).

12313124014023 is a wasteful number, since it uses less digits than its factorization.

12313124014023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69086829 (or 69086823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12313124014023 its reverse (32041042131321), we get a palindrome (44354166145344).

The spelling of 12313124014023 in words is "twelve trillion, three hundred thirteen billion, one hundred twenty-four million, fourteen thousand, twenty-three".

Divisors: 1 3 7 9 21 23 27 41 63 69 123 161 189 207 287 369 483 621 861 943 1107 1449 2583 2829 4347 6601 7749 8487 19803 25461 59409 178227 69086749 207260247 483607243 621780741 1450821729 1588995227 1865342223 2832556709 4352465187 4766985681 8497670127 11122966589 13057395561 14300957043 19827896963 25493010381 33368899767 42902871129 59483690889 65148804307 76479031143 100106699301 178451072667 195446412921 300320097903 456041630149 535353218001 586339238763 1368124890447 1759017716289 4104374671341 12313124014023