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131200232200 = 235210116339847
BaseRepresentation
bin111101000110000100…
…1001010101100001000
3110112122120101100200021
41322030021022230020
54122144224412300
6140134512150224
712323156400412
oct1721411125410
9415576340607
10131200232200
1150707124374
1221516838374
13c4ab74a8bb
1464c8a599b2
15362d3e7d1a
hex1e8c24ab08

131200232200 has 96 divisors (see below), whose sum is σ = 309958464960. Its totient is φ = 51640416000.

The previous prime is 131200232197. The next prime is 131200232209. The reversal of 131200232200 is 2232002131.

It is not an unprimeable number, because it can be changed into a prime (131200232209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3272677 + ... + 3312523.

It is an arithmetic number, because the mean of its divisors is an integer number (3228734010).

Almost surely, 2131200232200 is an apocalyptic number.

131200232200 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 131200232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154979232480).

131200232200 is an abundant number, since it is smaller than the sum of its proper divisors (178758232760).

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

131200232200 is a wasteful number, since it uses less digits than its factorization.

131200232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40127 (or 40118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 131200232200 its reverse (2232002131), we get a palindrome (133432234331).

The spelling of 131200232200 in words is "one hundred thirty-one billion, two hundred million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 163 200 202 326 404 505 652 808 815 1010 1304 1630 2020 2525 3260 4040 4075 5050 6520 8150 10100 16300 16463 20200 32600 32926 39847 65852 79694 82315 131704 159388 164630 199235 318776 329260 398470 411575 658520 796940 823150 996175 1593880 1646300 1992350 3292600 3984700 4024547 6495061 7969400 8049094 12990122 16098188 20122735 25980244 32196376 32475305 40245470 51960488 64950610 80490940 100613675 129901220 160981880 162376525 201227350 259802440 324753050 402454700 649506100 656001161 804909400 1299012200 1312002322 2624004644 3280005805 5248009288 6560011610 13120023220 16400029025 26240046440 32800058050 65600116100 131200232200