Search a number
-
+
130623141 = 311231131523
BaseRepresentation
bin1111100100100…
…10011010100101
3100002210100021010
413302102122211
5231414420031
620543412433
73144164325
oct762223245
9302710233
10130623141
1167808110
12378b4119
13210a62cc
14134c3285
15b703246
hex7c926a5

130623141 has 32 divisors (see below), whose sum is σ = 200143872. Its totient is φ = 75004160.

The previous prime is 130623127. The next prime is 130623149. The reversal of 130623141 is 141326031.

It is not a de Polignac number, because 130623141 - 214 = 130606757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130623149) 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, 85006 + ... + 86528.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2130623141 is an apocalyptic number.

130623141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130623141 is a deficient number, since it is larger than the sum of its proper divisors (69520731).

130623141 is a wasteful number, since it uses less digits than its factorization.

130623141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130623141 is about 11429.0481230941. The cubic root of 130623141 is about 507.3878238159.

Adding to 130623141 its reverse (141326031), we get a palindrome (271949172).

The spelling of 130623141 in words is "one hundred thirty million, six hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 11 23 33 69 113 253 339 759 1243 1523 2599 3729 4569 7797 16753 28589 35029 50259 85767 105087 172099 385319 516297 1155957 1893089 3958277 5679267 11874831 43541047 130623141