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12131151300 = 2234521497673
BaseRepresentation
bin10110100110001001…
…01010110111000100
31011022102220100010000
423103010222313010
5144321033320200
65323432401300
7606423041022
oct132304526704
934272810100
1012131151300
11516579a584
122426846230
1311b4394348
148311db712
154b002a300
hex2d312adc4

12131151300 has 90 divisors (see below), whose sum is σ = 39324426218. Its totient is φ = 3234971520.

The previous prime is 12131151287. The next prime is 12131151301. The reversal of 12131151300 is 315113121.

12131151300 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 51 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1054430784 + 11076720516 = 32472^2 + 105246^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (12131151301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 740737 + ... + 756936.

Almost surely, 212131151300 is an apocalyptic number.

12131151300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131151300 is an abundant number, since it is smaller than the sum of its proper divisors (27193274918).

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

12131151300 is a wasteful number, since it uses less digits than its factorization.

12131151300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497699 (or 1497683 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 12131151300 its reverse (315113121), we get a palindrome (12446264421).

The spelling of 12131151300 in words is "twelve billion, one hundred thirty-one million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 1497673 2995346 4493019 5990692 7488365 8986038 13479057 14976730 17972076 22465095 26958114 29953460 37441825 40437171 44930190 53916228 67395285 74883650 80874342 89860380 112325475 121311513 134790570 149767300 161748684 202185855 224650950 242623026 269581140 336976425 404371710 449301900 485246052 606557565 673952850 808743420 1010929275 1213115130 1347905700 2021858550 2426230260 3032787825 4043717100 6065575650 12131151300