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131421253032120 = 23353314171979309
BaseRepresentation
bin11101111000011011100101…
…000110100101100010111000
3122020022202020002022222102110
4131320123211012211202320
5114211201211234011440
61143302031250532320
736452605110150342
oct3570334506454270
9566282202288373
10131421253032120
1138969493212077
12128a639b8970a0
135843c813386bc
142464b73266292
15102d87d488080
hex7786e51a58b8

131421253032120 has 128 divisors (see below), whose sum is σ = 395469353664000. Its totient is φ = 34938511280640.

The previous prime is 131421253032103. The next prime is 131421253032149. The reversal of 131421253032120 is 21230352124131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657039026 + ... + 1657118334.

It is an arithmetic number, because the mean of its divisors is an integer number (3089604325500).

Almost surely, 2131421253032120 is an apocalyptic number.

131421253032120 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 131421253032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197734676832000).

131421253032120 is an abundant number, since it is smaller than the sum of its proper divisors (264048100631880).

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

131421253032120 is a wasteful number, since it uses less digits than its factorization.

131421253032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121373 (or 121369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 131421253032120 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, two hundred fifty-three million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13240 19860 39720 41719 79309 83438 125157 158618 166876 208595 237927 250314 317236 333752 396545 417190 475854 500628 625785 634472 793090 834380 951708 1001256 1189635 1251570 1586180 1668760 1903416 2379270 2503140 3172360 4758540 5006280 9517080 13808989 26251279 27617978 41426967 52502558 55235956 69044945 78753837 82853934 105005116 110471912 131256395 138089890 157507674 165707868 207134835 210010232 262512790 276179780 315015348 331415736 393769185 414269670 525025580 552359560 630030696 787538370 828539340 1050051160 1575076740 1657078680 3150153480 3308692171 6617384342 9926076513 13234768684 16543460855 19852153026 26469537368 33086921710 39704306052 49630382565 66173843420 79408612104 99260765130 132347686840 198521530260 397043060520 1095177108601 2190354217202 3285531325803 4380708434404 5475885543005 6571062651606 8761416868808 10951771086010 13142125303212 16427656629015 21903542172020 26284250606424 32855313258030 43807084344040 65710626516060 131421253032120