Search a number
-
+
131148052056121 = 3123694192
BaseRepresentation
bin11101110100011101001001…
…000011100100100000111001
3122012100122001020111102110211
4131310131021003210200321
5114142212202311243441
61142532330001511121
736424063663160212
oct3564351103444071
9565318036442424
10131148052056121
11388736383aa1a1
12128614553424a1
135824292681059
1424558573ac409
1510266dd8b0a81
hex7747490e4839

131148052056121 has 9 divisors (see below), whose sum is σ = 135515471612133. Its totient is φ = 126917126172060.

The previous prime is 131148052056083. The next prime is 131148052056143. The reversal of 131148052056121 is 121650250841131.

It is a happy number.

The square root of 131148052056121 is 11451989.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 131148052056121 - 29 = 131148052055609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131148052056421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 354826950 + ... + 355196368.

Almost surely, 2131148052056121 is an apocalyptic number.

131148052056121 is the 11451989-th square number.

131148052056121 is the 5725995-th centered octagonal number.

It is an amenable number.

131148052056121 is a deficient number, since it is larger than the sum of its proper divisors (4367419556012).

131148052056121 is an frugal number, since it uses more digits than its factorization.

131148052056121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738900 (or 369450 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 131148052056121 in words is "one hundred thirty-one trillion, one hundred forty-eight billion, fifty-two million, fifty-six thousand, one hundred twenty-one".

Divisors: 1 31 961 369419 11451989 355011659 136470397561 4230582324391 131148052056121