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131353450111220 = 22529278178141477
BaseRepresentation
bin11101110111011100011011…
…101110111110000011110100
3122020002021012210011201110212
4131313130123232332003310
5114204043331212024340
61143210535243004552
736444654641633201
oct3567343356760364
9566067183151425
10131353450111220
113894275a235057
1212895218809758
13583a76713c06c
14246178036aca8
15102bc10bb8a65
hex77771bbbe0f4

131353450111220 has 48 divisors (see below), whose sum is σ = 285364340105040. Its totient is φ = 50727778397184.

The previous prime is 131353450111189. The next prime is 131353450111231. The reversal of 131353450111220 is 22111054353131.

131353450111220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4394775562384 + 126958674548836 = 2096372^2 + 11267594^2 .

It is a super-2 number, since 2×1313534501112202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12063122 + ... + 20204598.

It is an arithmetic number, because the mean of its divisors is an integer number (5945090418855).

Almost surely, 2131353450111220 is an apocalyptic number.

131353450111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131353450111220 is an abundant number, since it is smaller than the sum of its proper divisors (154010889993820).

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

131353450111220 is a wasteful number, since it uses less digits than its factorization.

131353450111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8169332 (or 8169330 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 131353450111220 in words is "one hundred thirty-one trillion, three hundred fifty-three billion, four hundred fifty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 27817 55634 111268 139085 278170 556340 806693 1613386 3226772 4033465 8066930 8141477 16133860 16282954 32565908 40707385 81414770 162829540 236102833 472205666 944411332 1180514165 2361028330 4722056660 226471465709 452942931418 905885862836 1132357328545 2264714657090 4529429314180 6567672505561 13135345011122 26270690022244 32838362527805 65676725055610 131353450111220