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130022334 = 23413107577
BaseRepresentation
bin1111011111111…
…11101110111110
3100001122211010000
413233333232332
5231241203314
620522455130
73136112601
oct757775676
9301584100
10130022334
1167437782
12376644a6
1320c259c0
14133a8338
15b635209
hex7bffbbe

130022334 has 80 divisors (see below), whose sum is σ = 317238768. Its totient is φ = 39564288.

The previous prime is 130022311. The next prime is 130022383. The reversal of 130022334 is 433220031.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 225054 + ... + 225630.

Almost surely, 2130022334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130022334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158619384).

130022334 is an abundant number, since it is smaller than the sum of its proper divisors (187216434).

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

130022334 is a wasteful number, since it uses less digits than its factorization.

130022334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130022334 is about 11402.7336196195. The cubic root of 130022334 is about 506.6087103799.

Adding to 130022334 its reverse (433220031), we get a palindrome (563242365).

The spelling of 130022334 in words is "one hundred thirty million, twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 107 117 162 214 234 321 351 577 642 702 963 1053 1154 1391 1731 1926 2106 2782 2889 3462 4173 5193 5778 7501 8346 8667 10386 12519 15002 15579 17334 22503 25038 31158 37557 45006 46737 61739 67509 75114 93474 112671 123478 135018 185217 202527 225342 370434 405054 555651 607581 802607 1111302 1215162 1605214 1666953 2407821 3333906 4815642 5000859 7223463 10001718 14446926 21670389 43340778 65011167 130022334