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104190832200 = 233527132229641
BaseRepresentation
bin110000100001001000…
…0011110111001001000
3100221221020102200021010
41201002100132321020
53201340323112300
6115510431043520
710345642314120
oct1410220367110
9327836380233
10104190832200
1140207010394
12182393705a0
139a95b28600
14508588bc80
152a9c107a50
hex184241ee48

104190832200 has 576 divisors, whose sum is σ = 402084086400. Its totient is φ = 21852979200.

The previous prime is 104190832189. The next prime is 104190832223. The reversal of 104190832200 is 2238091401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162543880 + ... + 162544520.

It is an arithmetic number, because the mean of its divisors is an integer number (698062650).

Almost surely, 2104190832200 is an apocalyptic number.

104190832200 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 104190832200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201042043200).

104190832200 is an abundant number, since it is smaller than the sum of its proper divisors (297893254200).

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

104190832200 is a wasteful number, since it uses less digits than its factorization.

104190832200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 104190832200 in words is "one hundred four billion, one hundred ninety million, eight hundred thirty-two thousand, two hundred".