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130111300142120 = 235111092712912847
BaseRepresentation
bin11101100101010111100101…
…110100111000010000101000
3122001200112000012212022211202
4131211113211310320100220
5114023220420314021440
61140420150042143332
736256142211253643
oct3545274564702050
9561615005768752
10130111300142120
113850398aa32360
12127145371b1b48
13577a59b23994b
14241b5c5cdca5a
1510097608ad615
hex7655e5d38428

130111300142120 has 64 divisors (see below), whose sum is σ = 322294046342400. Its totient is φ = 46879133978880.

The previous prime is 130111300142081. The next prime is 130111300142129. The reversal of 130111300142120 is 21241003111031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130111300142092 and 130111300142101.

It is not an unprimeable number, because it can be changed into a prime (130111300142129) 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 15 ways as a sum of consecutive naturals, for example, 1356408464 + ... + 1356504383.

It is an arithmetic number, because the mean of its divisors is an integer number (5035844474100).

Almost surely, 2130111300142120 is an apocalyptic number.

130111300142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130111300142120 is an abundant number, since it is smaller than the sum of its proper divisors (192182746200280).

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

130111300142120 is a wasteful number, since it uses less digits than its factorization.

130111300142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712912978 (or 2712912974 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 130111300142120 its reverse (21241003111031), we get a palindrome (151352303253151).

The spelling of 130111300142120 in words is "one hundred thirty trillion, one hundred eleven billion, three hundred million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 2180 2398 4360 4796 5995 9592 11990 23980 47960 2712912847 5425825694 10851651388 13564564235 21703302776 27129128470 29842041317 54258256940 59684082634 108516513880 119368165268 149210206585 238736330536 295707500323 298420413170 591415000646 596840826340 1182830001292 1193681652680 1478537501615 2365660002584 2957075003230 3252782503553 5914150006460 6505565007106 11828300012920 13011130014212 16263912517765 26022260028424 32527825035530 65055650071060 130111300142120