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104131000 = 23531011031
BaseRepresentation
bin1100011010011…
…10100110111000
321020221101212201
412031032212320
5203124143000
614155515544
72403045631
oct615164670
9236841781
10104131000
1153863186
122aa58bb4
131875bb9c
14db88888
15921d96a
hex634e9b8

104131000 has 64 divisors (see below), whose sum is σ = 246317760. Its totient is φ = 41200000.

The previous prime is 104130997. The next prime is 104131007. The reversal of 104131000 is 131401.

It is a happy number.

It is a super-2 number, since 2×1041310002 = 21686530322000000, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104131007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100485 + ... + 101515.

It is an arithmetic number, because the mean of its divisors is an integer number (3848715).

Almost surely, 2104131000 is an apocalyptic number.

104131000 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 104131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123158880).

104131000 is an abundant number, since it is smaller than the sum of its proper divisors (142186760).

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

104131000 is a wasteful number, since it uses less digits than its factorization.

104131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

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

The square root of 104131000 is about 10204.4598093187. The cubic root of 104131000 is about 470.4643065208.

Adding to 104131000 its reverse (131401), we get a palindrome (104262401).

It can be divided in two parts, 1041 and 31000, that added together give a square (32041 = 1792).

The spelling of 104131000 in words is "one hundred four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 1031 2020 2062 2525 4040 4124 5050 5155 8248 10100 10310 12625 20200 20620 25250 25775 41240 50500 51550 101000 103100 104131 128875 206200 208262 257750 416524 515500 520655 833048 1031000 1041310 2082620 2603275 4165240 5206550 10413100 13016375 20826200 26032750 52065500 104131000