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104013100 = 22529710723
BaseRepresentation
bin1100011001100…
…01110100101100
321020201102011001
412030301310230
5203111404400
614153210044
72402045122
oct614616454
9236642131
10104013100
1153792644
122aa00924
131871a319
14db57912
1591e8a6a
hex6331d2c

104013100 has 36 divisors (see below), whose sum is σ = 228056584. Its totient is φ = 41172480.

The previous prime is 104013079. The next prime is 104013103. The reversal of 104013100 is 1310401.

It is a happy number.

It is a super-2 number, since 2×1040131002 = 21637449943220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104013103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4339 + ... + 15061.

Almost surely, 2104013100 is an apocalyptic number.

104013100 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 104013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114028292).

104013100 is an abundant number, since it is smaller than the sum of its proper divisors (124043484).

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

104013100 is a wasteful number, since it uses less digits than its factorization.

104013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10834 (or 10827 counting only the distinct ones).

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

The square root of 104013100 is about 10198.6812873038. The cubic root of 104013100 is about 470.2866818975.

Adding to 104013100 its reverse (1310401), we get a palindrome (105323501).

The spelling of 104013100 in words is "one hundred four million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 10723 21446 42892 53615 107230 214460 268075 536150 1040131 1072300 2080262 4160524 5200655 10401310 20802620 26003275 52006550 104013100