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131243100 = 223521812417
BaseRepresentation
bin1111101001010…
…01110001011100
3100010221211200120
413310221301130
5232044234400
621004554540
73152355642
oct764516134
9303854616
10131243100
11680a097a
1237b52a50
1321262551
1413605192
15b7c6ca0
hex7d29c5c

131243100 has 72 divisors (see below), whose sum is σ = 381985968. Its totient is φ = 34790400.

The previous prime is 131243093. The next prime is 131243113. The reversal of 131243100 is 1342131.

It is a super-2 number, since 2×1312431002 = 34449502595220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131243100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53092 + ... + 55508.

Almost surely, 2131243100 is an apocalyptic number.

131243100 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 131243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190992984).

131243100 is an abundant number, since it is smaller than the sum of its proper divisors (250742868).

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

131243100 is a wasteful number, since it uses less digits than its factorization.

131243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131243100 is about 11456.1380927431. The cubic root of 131243100 is about 508.1892726833.

Adding to 131243100 its reverse (1342131), we get a palindrome (132585231).

The spelling of 131243100 in words is "one hundred thirty-one million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1810 2172 2417 2715 3620 4525 4834 5430 7251 9050 9668 10860 12085 13575 14502 18100 24170 27150 29004 36255 48340 54300 60425 72510 120850 145020 181275 241700 362550 437477 725100 874954 1312431 1749908 2187385 2624862 4374770 5249724 6562155 8749540 10936925 13124310 21873850 26248620 32810775 43747700 65621550 131243100