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131898100 = 22522357347
BaseRepresentation
bin1111101110010…
…01101011110100
3100012012010011211
413313021223310
5232231214400
621031011204
73161054365
oct767115364
9305163154
10131898100
11684a8aa4
1238209b04
1321431719
1413735b6c
15b8a5dba
hex7dc9af4

131898100 has 36 divisors (see below), whose sum is σ = 298668384. Its totient is φ = 50464480.

The previous prime is 131898083. The next prime is 131898101. The reversal of 131898100 is 1898131.

It is a super-2 number, since 2×1318981002 = 34794217567220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131898101) 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 11 ways as a sum of consecutive naturals, for example, 26374 + ... + 30973.

It is an arithmetic number, because the mean of its divisors is an integer number (8296344).

Almost surely, 2131898100 is an apocalyptic number.

131898100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131898100 is an abundant number, since it is smaller than the sum of its proper divisors (166770284).

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

131898100 is a wasteful number, since it uses less digits than its factorization.

131898100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57384 (or 57377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 131898100 is about 11484.6898086104. The cubic root of 131898100 is about 509.0332834241.

Adding to 131898100 its sum of digits (31), we get a palindrome (131898131).

The spelling of 131898100 in words is "one hundred thirty-one million, eight hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 57347 114694 229388 286735 573470 1146940 1318981 1433675 2637962 2867350 5275924 5734700 6594905 13189810 26379620 32974525 65949050 131898100