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130879901151 = 3241428382813
BaseRepresentation
bin111100111100100001…
…1001100110111011111
3110111211020121212002100
41321321003030313133
54121020223314101
6140043030300143
712312216542556
oct1717103146737
9414736555070
10130879901151
115056232396a
12214474b7653
13c45a281abc
1464982b2d9d
15361021ee86
hex1e790ccddf

130879901151 has 24 divisors (see below), whose sum is σ = 193707246096. Its totient is φ = 85104236160.

The previous prime is 130879901147. The next prime is 130879901221. The reversal of 130879901151 is 151109978031.

It is a happy number.

It is not a de Polignac number, because 130879901151 - 22 = 130879901147 is a prime.

It is a super-2 number, since 2×1308799011512 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130879901097 and 130879901106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130879901351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539021 + ... + 1621833.

It is an arithmetic number, because the mean of its divisors is an integer number (8071135254).

Almost surely, 2130879901151 is an apocalyptic number.

130879901151 is a deficient number, since it is larger than the sum of its proper divisors (62827344945).

130879901151 is a wasteful number, since it uses less digits than its factorization.

130879901151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87143 (or 87140 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 45.

The spelling of 130879901151 in words is "one hundred thirty billion, eight hundred seventy-nine million, nine hundred one thousand, one hundred fifty-one".

Divisors: 1 3 9 41 123 369 4283 12849 38547 82813 175603 248439 526809 745317 1580427 3395333 10185999 30557997 354688079 1064064237 3192192711 14542211239 43626633717 130879901151