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131210100 = 223252759353
BaseRepresentation
bin1111101001000…
…01101101110100
3100010220011102100
413310201231310
5232042210400
621004142100
73152160510
oct764415564
9303804370
10131210100
11680790aa
1237b37930
1321250518
14135d7140
15b7bc100
hex7d21b74

131210100 has 216 divisors, whose sum is σ = 479344320. Its totient is φ = 29399040.

The previous prime is 131210087. The next prime is 131210111. The reversal of 131210100 is 1012131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371524 + ... + 371876.

Almost surely, 2131210100 is an apocalyptic number.

131210100 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 131210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239672160).

131210100 is an abundant number, since it is smaller than the sum of its proper divisors (348134220).

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

131210100 is a wasteful number, since it uses less digits than its factorization.

131210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131210100 is about 11454.6977262606. The cubic root of 131210100 is about 508.1466757727.

Adding to 131210100 its reverse (1012131), we get a palindrome (132222231).

The spelling of 131210100 in words is "one hundred thirty-one million, two hundred ten thousand, one hundred".