Search a number
-
+
12331331010120 = 23351719993023897
BaseRepresentation
bin1011001101110001110010…
…0110101011111001001000
31121122212022122211100112210
42303130130212223321020
53104014031214310440
642120534003305120
72411623610100603
oct263343446537110
947585278740483
1012331331010120
113a247629727a1
121471a8997b1a0
136b5abb588225
14308ba7c3d33a
15165b75ec1a80
hexb371c9abe48

12331331010120 has 128 divisors (see below), whose sum is σ = 39189718080000. Its totient is φ = 3093373034496.

The previous prime is 12331331010101. The next prime is 12331331010127. The reversal of 12331331010120 is 2101013313321.

It is a happy number.

It is a super-2 number, since 2×123313310101202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12331331010127) 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 31 ways as a sum of consecutive naturals, for example, 2566012 + ... + 5589908.

It is an arithmetic number, because the mean of its divisors is an integer number (306169672500).

Almost surely, 212331331010120 is an apocalyptic number.

12331331010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331331010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19594859040000).

12331331010120 is an abundant number, since it is smaller than the sum of its proper divisors (26858387069880).

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

12331331010120 is a wasteful number, since it uses less digits than its factorization.

12331331010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025927 (or 3025923 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12331331010120 its reverse (2101013313321), we get a palindrome (14432344323441).

The spelling of 12331331010120 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1999 2040 3998 5997 7996 9995 11994 15992 19990 23988 29985 33983 39980 47976 59970 67966 79960 101949 119940 135932 169915 203898 239880 271864 339830 407796 509745 679660 815592 1019490 1359320 2038980 3023897 4077960 6047794 9071691 12095588 15119485 18143382 24191176 30238970 36286764 45358455 51406249 60477940 72573528 90716910 102812498 120955880 154218747 181433820 205624996 257031245 308437494 362867640 411249992 514062490 616874988 771093735 1028124980 1233749976 1542187470 2056249960 3084374940 6044770103 6168749880 12089540206 18134310309 24179080412 30223850515 36268620618 48358160824 60447701030 72537241236 90671551545 102761091751 120895402060 145074482472 181343103090 205522183502 241790804120 308283275253 362686206180 411044367004 513805458755 616566550506 725372412360 822088734008 1027610917510 1233133101012 1541416376265 2055221835020 2466266202024 3082832752530 4110443670040 6165665505060 12331331010120