Search a number
-
+
131153145014241 = 32721291230363611
BaseRepresentation
bin11101110100100001111000…
…100111101010011111100001
3122012101010012011210111121100
4131310201320213222133201
5114142303120110423431
61142534531213345013
736424334124460500
oct3564417047523741
9565333164714540
10131153145014241
1138875811228a99
1212862436a98169
1358248c485913c
142455bbb94a837
1510268daa7a4e6
hex7748789ea7e1

131153145014241 has 36 divisors (see below), whose sum is σ = 220543671947664. Its totient is φ = 74886602338800.

The previous prime is 131153145014207. The next prime is 131153145014263. The reversal of 131153145014241 is 142410541351131.

131153145014241 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 531 + 45 + 0 + 1 + 42 + 41 = 666.

It is not a de Polignac number, because 131153145014241 - 221 = 131153142917089 is a prime.

It is a super-2 number, since 2×1311531450142412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131153145014196 and 131153145014205.

It is not an unprimeable number, because it can be changed into a prime (131153145014291) 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, 114612475 + ... + 115751136.

Almost surely, 2131153145014241 is an apocalyptic number.

It is an amenable number.

131153145014241 is a deficient number, since it is larger than the sum of its proper divisors (89390526933423).

131153145014241 is a wasteful number, since it uses less digits than its factorization.

131153145014241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230364922 (or 230364912 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 131153145014241 its reverse (142410541351131), we get a palindrome (273563686365372).

The spelling of 131153145014241 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, one hundred forty-five million, fourteen thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1291 3873 9037 11619 27111 63259 81333 189777 569331 230363611 691090833 1612545277 2073272499 4837635831 11287816939 14512907493 33863450817 101590352451 297399421801 892198265403 2081795952607 2676594796209 6245387857821 14572571668249 18736163573463 43717715004747 131153145014241