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131210200 = 235211194373
BaseRepresentation
bin1111101001000…
…01101111011000
3100010220011120001
413310201233120
5232042211300
621004142344
73152161012
oct764415730
9303804501
10131210200
1168079190
1237b379b4
1321250594
14135d71b2
15b7bc16a
hex7d21bd8

131210200 has 192 divisors, whose sum is σ = 363369600. Its totient is φ = 43545600.

The previous prime is 131210173. The next prime is 131210213. The reversal of 131210200 is 2012131.

It is a super-2 number, since 2×1312102002 = 34432233168080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1797364 + ... + 1797436.

It is an arithmetic number, because the mean of its divisors is an integer number (1892550).

Almost surely, 2131210200 is an apocalyptic number.

131210200 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 131210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181684800).

131210200 is an abundant number, since it is smaller than the sum of its proper divisors (232159400).

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

131210200 is a wasteful number, since it uses less digits than its factorization.

131210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131210200 is about 11454.7020912811. The cubic root of 131210200 is about 508.1468048651.

Adding to 131210200 its reverse (2012131), we get a palindrome (133222331).

The spelling of 131210200 in words is "one hundred thirty-one million, two hundred ten thousand, two hundred".