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131420252350020 = 223515141934619443
BaseRepresentation
bin11101111000011010101001…
…011101010010011001000100
3122020022122122100101001122110
4131320122221131102121010
5114211142134100200040
61143301344102501020
736452541236405664
oct3570325135223104
9566278570331573
10131420252350020
113896901a372877
12128a6160734770
135843b51c1cc0a
142464aba3bc1a4
15102d8206be980
hex7786a9752644

131420252350020 has 96 divisors (see below), whose sum is σ = 371297691233280. Its totient is φ = 34730224214400.

The previous prime is 131420252349929. The next prime is 131420252350061. The reversal of 131420252350020 is 20053252024131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131420252350020.

It is an unprimeable number.

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, 13513582 + ... + 21105861.

It is an arithmetic number, because the mean of its divisors is an integer number (3867684283680).

Almost surely, 2131420252350020 is an apocalyptic number.

131420252350020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131420252350020 is an abundant number, since it is smaller than the sum of its proper divisors (239877438883260).

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

131420252350020 is a wasteful number, since it uses less digits than its factorization.

131420252350020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34620025 (or 34620023 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 131420252350020 in words is "one hundred thirty-one trillion, four hundred twenty billion, two hundred fifty-two million, three hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 419 453 604 755 838 906 1257 1510 1676 1812 2095 2265 2514 3020 4190 4530 5028 6285 8380 9060 12570 25140 63269 126538 189807 253076 316345 379614 632690 759228 949035 1265380 1898070 3796140 34619443 69238886 103858329 138477772 173097215 207716658 346194430 415433316 519291645 692388860 1038583290 2077166580 5227535893 10455071786 14505546617 15682607679 20910143572 26137679465 29011093234 31365215358 43516639851 52275358930 58022186468 62730430716 72527733085 78413038395 87033279702 104550717860 145055466170 156826076790 174066559404 217583199255 290110932340 313652153580 435166398510 870332797020 2190337539167 4380675078334 6571012617501 8761350156668 10951687695835 13142025235002 21903375391670 26284050470004 32855063087505 43806750783340 65710126175010 131420252350020