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130044000132 = 223225211432897
BaseRepresentation
bin111100100011100111…
…0011111011110000100
3110102122222201200110100
41321013032133132010
54112312231001012
6135424050124100
712252416522424
oct1710716373604
9412588650410
10130044000132
11501734a2082
1221253580630
13c35603c007
146419280484
1535b1b558dc
hex1e4739f784

130044000132 has 36 divisors (see below), whose sum is σ = 328852956796. Its totient is φ = 43330775040.

The previous prime is 130044000131. The next prime is 130044000221. The reversal of 130044000132 is 231000440031.

130044000132 is a `hidden beast` number, since 130 + 0 + 4 + 400 + 0 + 132 = 666.

130044000132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1581971076 + 128462029056 = 39774^2 + 358416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1300440001322 (a number of 23 digits) contains 22 as substring.

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 (130044000131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625693 + ... + 807204.

Almost surely, 2130044000132 is an apocalyptic number.

130044000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130044000132 is an abundant number, since it is smaller than the sum of its proper divisors (198808956664).

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

130044000132 is a wasteful number, since it uses less digits than its factorization.

130044000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435428 (or 1435423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130044000132 its reverse (231000440031), we get a palindrome (361044440163).

The spelling of 130044000132 in words is "one hundred thirty billion, forty-four million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 2521 5042 7563 10084 15126 22689 30252 45378 90756 1432897 2865794 4298691 5731588 8597382 12896073 17194764 25792146 51584292 3612333337 7224666674 10837000011 14449333348 21674000022 32511000033 43348000044 65022000066 130044000132