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131232021300 = 223252353413069
BaseRepresentation
bin111101000111000001…
…0011011101100110100
3110112201210012102010100
41322032002123230310
54122230344140200
6140142005354100
712324023530122
oct1721602335464
9415653172110
10131232021300
1150723066a56
1221525408930
13c4b51cb013
1464ccd72912
1536310c6d00
hex1e8e09bb34

131232021300 has 108 divisors (see below), whose sum is σ = 412505746380. Its totient is φ = 34895984640.

The previous prime is 131232021293. The next prime is 131232021313. The reversal of 131232021300 is 3120232131.

131232021300 is a `hidden beast` number, since 1 + 312 + 32 + 0 + 21 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11435735844 + 119796285456 = 106938^2 + 346116^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111166 + ... + 524234.

Almost surely, 2131232021300 is an apocalyptic number.

131232021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131232021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206252873190).

131232021300 is an abundant number, since it is smaller than the sum of its proper divisors (281273725080).

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

131232021300 is a wasteful number, since it uses less digits than its factorization.

131232021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413442 (or 413432 counting only the distinct ones).

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

Adding to 131232021300 its reverse (3120232131), we get a palindrome (134352253431).

The spelling of 131232021300 in words is "one hundred thirty-one billion, two hundred thirty-two million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 353 450 706 900 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 8825 10590 12708 15885 17650 21180 26475 31770 35300 52950 63540 79425 105900 158850 317700 413069 826138 1239207 1652276 2065345 2478414 3717621 4130690 4956828 6196035 7435242 8261380 10326725 12392070 14870484 18588105 20653450 24784140 30980175 37176210 41306900 61960350 74352420 92940525 123920700 145813357 185881050 291626714 371762100 437440071 583253428 729066785 874880142 1312320213 1458133570 1749760284 2187200355 2624640426 2916267140 3645333925 4374400710 5249280852 6561601065 7290667850 8748801420 10936001775 13123202130 14581335700 21872003550 26246404260 32808005325 43744007100 65616010650 131232021300