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130181013 = 341607173
BaseRepresentation
bin1111100001001…
…10011110010101
3100001221212210000
413300212132111
5231311243023
620530121513
73140343324
oct760463625
9301855700
10130181013
1167535a16
1237720299
1320c7ccb1
141340a0bb
15b667243
hex7c26795

130181013 has 10 divisors (see below), whose sum is σ = 194468054. Its totient is φ = 86787288.

The previous prime is 130180993. The next prime is 130181033. The reversal of 130181013 is 310181031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130180993) and next prime (130181033).

It can be written as a sum of positive squares in only one way, i.e., 124144164 + 6036849 = 11142^2 + 2457^2 .

It is not a de Polignac number, because 130181013 - 221 = 128083861 is a prime.

It is a super-2 number, since 2×1301810132 = 33894192291412338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130181033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 803506 + ... + 803667.

Almost surely, 2130181013 is an apocalyptic number.

It is an amenable number.

130181013 is a deficient number, since it is larger than the sum of its proper divisors (64287041).

130181013 is an equidigital number, since it uses as much as digits as its factorization.

130181013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607185 (or 1607176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 130181013 is about 11409.6894348619. The cubic root of 130181013 is about 506.8147146905.

Adding to 130181013 its sum of digits (18), we get a palindrome (130181031).

The spelling of 130181013 in words is "one hundred thirty million, one hundred eighty-one thousand, thirteen".

Divisors: 1 3 9 27 81 1607173 4821519 14464557 43393671 130181013