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131141220100331 = 722839457072193
BaseRepresentation
bin11101110100010110110001…
…110101101110100011101011
3122012022222102002222010000012
4131310112301311232203223
5114142104204321202311
61142525240025202135
736423432454412600
oct3564266165564353
9565288362863005
10131141220100331
11388707519a1741
121286006933034b
13582374412416c
1424553a9cb66a7
15102643dbdc78b
hex7745b1d6e8eb

131141220100331 has 12 divisors (see below), whose sum is σ = 153091084676472. Its totient is φ = 112009563042048.

The previous prime is 131141220100321. The next prime is 131141220100337. The reversal of 131141220100331 is 133001022141131.

It is not a de Polignac number, because 131141220100331 - 222 = 131141215906027 is a prime.

It is a super-2 number, since 2×1311412201003312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131141220100297 and 131141220100306.

It is not an unprimeable number, because it can be changed into a prime (131141220100337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4728522230 + ... + 4728549963.

It is an arithmetic number, because the mean of its divisors is an integer number (12757590389706).

Almost surely, 2131141220100331 is an apocalyptic number.

131141220100331 is a deficient number, since it is larger than the sum of its proper divisors (21949864576141).

131141220100331 is an equidigital number, since it uses as much as digits as its factorization.

131141220100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457072490 (or 9457072483 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131141220100331 its reverse (133001022141131), we get a palindrome (264142242241462).

The spelling of 131141220100331 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred twenty million, one hundred thousand, three hundred thirty-one".

Divisors: 1 7 49 283 1981 13867 9457072193 66199505351 463396537457 2676351430619 18734460014333 131141220100331