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131103231300 = 223252612388037
BaseRepresentation
bin111101000011001011…
…1001000110101000100
3110112101210212012110100
41322012113020311010
54121444411400200
6140121125124100
712320601036066
oct1720627106504
9415353765410
10131103231300
11506673a1138
12214aa259630
13c494617212
1464b9c09736
153624b36d00
hex1e865c8d44

131103231300 has 108 divisors (see below), whose sum is σ = 417672622276. Its totient is φ = 34387718400.

The previous prime is 131103231257. The next prime is 131103231307. The reversal of 131103231300 is 3132301131.

It is a happy number.

131103231300 is a `hidden beast` number, since 1 + 31 + 10 + 323 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 69686496324 + 61416734976 = 263982^2 + 247824^2 .

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 (131103231307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1139119 + ... + 1248918.

Almost surely, 2131103231300 is an apocalyptic number.

131103231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131103231300 is an abundant number, since it is smaller than the sum of its proper divisors (286569390976).

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

131103231300 is a wasteful number, since it uses less digits than its factorization.

131103231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388118 (or 2388108 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131103231300 its reverse (3132301131), we get a palindrome (134235532431).

The spelling of 131103231300 in words is "one hundred thirty-one billion, one hundred three million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 2388037 4776074 7164111 9552148 11940185 14328222 21492333 23880370 28656444 35820555 42984666 47760740 59700925 71641110 85969332 107461665 119401850 143282220 145670257 179102775 214923330 238803700 291340514 358205550 429846660 437010771 537308325 582681028 716411100 728351285 874021542 1074616650 1311032313 1456702570 1748043084 2149233300 2185053855 2622064626 2913405140 3641756425 4370107710 5244129252 6555161565 7283512850 8740215420 10925269275 13110323130 14567025700 21850538550 26220646260 32775807825 43701077100 65551615650 131103231300