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131201141213538 = 232112175934246319
BaseRepresentation
bin11101110101001110100101…
…011010101000100101100010
3122012112201002010010001102100
4131311032211122220211202
5114144044414122313123
61143012545554431230
736430653405441624
oct3565164532504542
9565481063101370
10131201141213538
1138894100898a00
121286b7b0892516
1358292a3420876
1424582520b2c14
151027c9955b643
hex7753a56a8962

131201141213538 has 72 divisors (see below), whose sum is σ = 312638764838400. Its totient is φ = 39735317849040.

The previous prime is 131201141213537. The next prime is 131201141213551. The reversal of 131201141213538 is 835312141102131.

131201141213538 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 114 + 1 + 2 + 1 + 3 + 538 = 666.

It is not an unprimeable number, because it can be changed into a prime (131201141213537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13292058 + ... + 20954261.

It is an arithmetic number, because the mean of its divisors is an integer number (4342205067200).

Almost surely, 2131201141213538 is an apocalyptic number.

131201141213538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131201141213538 is an abundant number, since it is smaller than the sum of its proper divisors (181437623624862).

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

131201141213538 is a wasteful number, since it uses less digits than its factorization.

131201141213538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34248108 (or 34248094 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 131201141213538 its reverse (835312141102131), we get a palindrome (966513282315669).

The spelling of 131201141213538 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-one million, two hundred thirteen thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1759 2178 3518 5277 10554 15831 19349 31662 38698 58047 116094 174141 212839 348282 425678 638517 1277034 1915551 3831102 34246319 68492638 102738957 205477914 308216871 376709509 616433742 753419018 1130128527 2260257054 3390385581 4143804599 6780771162 8287609198 12431413797 24862827594 37294241391 60239275121 74588482782 120478550242 180717825363 361435650726 542153476089 662632026331 1084306952178 1325264052662 1987896078993 3975792157986 5963688236979 7288952289641 11927376473958 14577904579282 21866856868923 43733713737846 65600570606769 131201141213538