Search a number
-
+
130031022 = 231119971069
BaseRepresentation
bin1111100000000…
…01110110101110
3100001200021000210
413300001312232
5231241443042
620523003250
73136150122
oct760016656
9301607023
10130031022
1167443260
1237669526
1320c29944
14133ab582
15b637a9c
hex7c01dae

130031022 has 64 divisors (see below), whose sum is σ = 301996800. Its totient is φ = 36910080.

The previous prime is 130031017. The next prime is 130031023. The reversal of 130031022 is 220130031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130030989 and 130031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121104 + ... + 122172.

It is an arithmetic number, because the mean of its divisors is an integer number (4718700).

Almost surely, 2130031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150998400).

130031022 is an abundant number, since it is smaller than the sum of its proper divisors (171965778).

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

130031022 is a wasteful number, since it uses less digits than its factorization.

130031022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130031022 is about 11403.1145745362. The cubic root of 130031022 is about 506.6199938733.

Adding to 130031022 its reverse (220130031), we get a palindrome (350161053).

Subtracting 130031022 from its reverse (220130031), we obtain a palindrome (90099009).

The spelling of 130031022 in words is "one hundred thirty million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 97 114 194 209 291 418 582 627 1067 1069 1254 1843 2134 2138 3201 3207 3686 5529 6402 6414 11058 11759 20273 20311 23518 35277 40546 40622 60819 60933 70554 103693 121638 121866 207386 223421 311079 446842 622158 670263 1140623 1340526 1970167 2281246 3421869 3940334 5910501 6843738 11821002 21671837 43343674 65015511 130031022