Search a number
-
+
130063122 = 232710131019
BaseRepresentation
bin1111100000010…
…01101100010010
3100001201220001200
413300021230102
5231244004442
620523412030
73136342530
oct760115422
9301656050
10130063122
1167465392
1237684016
1320c3b437
14133b9150
15b64234c
hex7c09b12

130063122 has 48 divisors (see below), whose sum is σ = 322695360. Its totient is φ = 37087776.

The previous prime is 130063099. The next prime is 130063123. The reversal of 130063122 is 221360031.

130063122 is a `hidden beast` number, since 1 + 30 + 0 + 631 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130063095 and 130063104.

It is not an unprimeable number, because it can be changed into a prime (130063123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127129 + ... + 128147.

It is an arithmetic number, because the mean of its divisors is an integer number (6722820).

Almost surely, 2130063122 is an apocalyptic number.

130063122 is an abundant number, since it is smaller than the sum of its proper divisors (192632238).

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

130063122 is a wasteful number, since it uses less digits than its factorization.

130063122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130063122 is about 11404.5219978744. The cubic root of 130063122 is about 506.6616792176.

The spelling of 130063122 in words is "one hundred thirty million, sixty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1013 1019 2026 2038 3039 3057 6078 6114 7091 7133 9117 9171 14182 14266 18234 18342 21273 21399 42546 42798 63819 64197 127638 128394 1032247 2064494 3096741 6193482 7225729 9290223 14451458 18580446 21677187 43354374 65031561 130063122