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12320103011130 = 23251939111842173
BaseRepresentation
bin1011001101000111111101…
…0111010001001100111010
31121121210100011100220111100
42303101333113101030322
53103323032332324010
642111435512312230
72411045431504635
oct263217727211472
947553304326440
1012320103011130
113a1aa20a68992
12146b8756a2676
136b4a1c352345
1430842097cc1c
1516571a3e72c0
hexb347f5d133a

12320103011130 has 96 divisors (see below), whose sum is σ = 33726816339840. Its totient is φ = 3111649568640.

The previous prime is 12320103011123. The next prime is 12320103011137. The reversal of 12320103011130 is 3111030102321.

12320103011130 is a `hidden beast` number, since 1 + 2 + 320 + 1 + 0 + 301 + 11 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (12320103011123) and next prime (12320103011137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12320103011137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5766724 + ... + 7608896.

It is an arithmetic number, because the mean of its divisors is an integer number (351321003540).

Almost surely, 212320103011130 is an apocalyptic number.

12320103011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320103011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863408169920).

12320103011130 is an abundant number, since it is smaller than the sum of its proper divisors (21406713328710).

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

12320103011130 is a wasteful number, since it uses less digits than its factorization.

12320103011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846116 (or 1846113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12320103011130 its reverse (3111030102321), we get a palindrome (15431133113451).

The spelling of 12320103011130 in words is "twelve trillion, three hundred twenty billion, one hundred three million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 3911 7822 11733 19555 23466 35199 39110 58665 70398 74309 117330 148618 175995 222927 351990 371545 445854 668781 743090 1114635 1337562 1842173 2229270 3343905 3684346 5526519 6687810 9210865 11053038 16579557 18421730 27632595 33159114 35001287 55265190 70002574 82897785 105003861 165795570 175006435 210007722 315011583 350012870 525019305 630023166 1050038610 1575057915 3150115830 7204738603 14409477206 21614215809 36023693015 43228431618 64842647427 72047386030 108071079045 129685294854 136890033457 216142158090 273780066914 324213237135 410670100371 648426474270 684450167285 821340200742 1232010301113 1368900334570 2053350501855 2464020602226 4106701003710 6160051505565 12320103011130