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104131204000 = 255349375273
BaseRepresentation
bin110000011111010110…
…1000001001110100000
3100221210002020020202021
41200332231001032200
53201230042012000
6115500501031224
710344316426015
oct1407655011640
9327702206667
10104131204000
114018639388a
12182213b5514
139a8667b955
14507b9a970c
152a96c7a11a
hex183eb413a0

104131204000 has 96 divisors (see below), whose sum is σ = 255950721936. Its totient is φ = 41636147200.

The previous prime is 104131203961. The next prime is 104131204003. The reversal of 104131204000 is 402131401.

It can be written as a sum of positive squares in 8 ways, for example, as 2142949264 + 101988254736 = 46292^2 + 319356^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (104131204003) 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, 19745364 + ... + 19750636.

Almost surely, 2104131204000 is an apocalyptic number.

104131204000 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 104131204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127975360968).

104131204000 is an abundant number, since it is smaller than the sum of its proper divisors (151819517936).

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

104131204000 is an equidigital number, since it uses as much as digits as its factorization.

104131204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235 (or 10217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 104131204000 its reverse (402131401), we get a palindrome (104533335401).

The spelling of 104131204000 in words is "one hundred four billion, one hundred thirty-one million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4937 5273 9874 10546 19748 21092 24685 26365 39496 42184 49370 52730 78992 84368 98740 105460 123425 131825 157984 168736 197480 210920 246850 263650 394960 421840 493700 527300 617125 659125 789920 843680 987400 1054600 1234250 1318250 1974800 2109200 2468500 2636500 3949600 4218400 4937000 5273000 9874000 10546000 19748000 21092000 26032801 52065602 104131204 130164005 208262408 260328010 416524816 520656020 650820025 833049632 1041312040 1301640050 2082624080 2603280100 3254100125 4165248160 5206560200 6508200250 10413120400 13016400500 20826240800 26032801000 52065602000 104131204000