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130351122 = 23211297617
BaseRepresentation
bin1111100010100…
…00000000010010
3100002021112010100
413301100000102
5231332213442
620533513230
73141652266
oct761200022
9302245110
10130351122
1167641800
12377a2816
132100c555
14134520a6
15b69c84c
hex7c50012

130351122 has 72 divisors (see below), whose sum is σ = 314145468. Its totient is φ = 39029760.

The previous prime is 130351079. The next prime is 130351159. The reversal of 130351122 is 221153031.

130351122 is a `hidden beast` number, since 130 + 3 + 511 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116445681 + 13905441 = 10791^2 + 3729^2 .

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 = 130351095 and 130351104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210958 + ... + 211574.

Almost surely, 2130351122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130351122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157072734).

130351122 is an abundant number, since it is smaller than the sum of its proper divisors (183794346).

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

130351122 is a wasteful number, since it uses less digits than its factorization.

130351122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130351122 is about 11417.1415862290. The cubic root of 130351122 is about 507.0353721105.

It can be divided in two parts, 1303 and 51122, that added together give a palindrome (52425).

The spelling of 130351122 in words is "one hundred thirty million, three hundred fifty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 121 194 198 242 291 363 582 617 726 873 1067 1089 1234 1746 1851 2134 2178 3201 3702 5553 6402 6787 9603 11106 11737 13574 19206 20361 23474 35211 40722 59849 61083 70422 74657 105633 119698 122166 149314 179547 211266 223971 359094 447942 538641 658339 671913 1077282 1316678 1343826 1975017 3950034 5925051 7241729 11850102 14483458 21725187 43450374 65175561 130351122