Search a number
-
+
130013012232 = 23324341993867
BaseRepresentation
bin111100100010101100…
…0010010000100001000
3110102120211102100001100
41321011120102010020
54112231312342412
6135421022021400
712251562240615
oct1710530220410
9412524370040
10130013012232
1150157a57444
1221245117860
13c34c7ac48c
1464150d550c
1535ae083edc
hex1e45612108

130013012232 has 48 divisors (see below), whose sum is σ = 360307387440. Its totient is φ = 42329816928.

The previous prime is 130013012219. The next prime is 130013012237. The reversal of 130013012232 is 232210310031.

130013012232 is a `hidden beast` number, since 1 + 300 + 130 + 1 + 2 + 232 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130013012237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20993838 + ... + 21000029.

It is an arithmetic number, because the mean of its divisors is an integer number (7506403905).

Almost surely, 2130013012232 is an apocalyptic number.

130013012232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130013012232 is an abundant number, since it is smaller than the sum of its proper divisors (230294375208).

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

130013012232 is a wasteful number, since it uses less digits than its factorization.

130013012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41993922 (or 41993915 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130013012232 its reverse (232210310031), we get a palindrome (362223322263).

The spelling of 130013012232 in words is "one hundred thirty billion, thirteen million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 41993867 83987734 125981601 167975468 251963202 335950936 377944803 503926404 755889606 1007852808 1511779212 1805736281 3023558424 3611472562 5417208843 7222945124 10834417686 14445890248 16251626529 21668835372 32503253058 43337670744 65006506116 130013012232