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104211404100 = 223252115790449
BaseRepresentation
bin110000100001101111…
…0111101010101000100
3100221222200010211121100
41201003132331111010
53201411104412400
6115512444020100
710346312214366
oct1410336752504
9327880124540
10104211404100
1140217691361
1218244231630
139a9a17c12b
1450884c4d36
152a9dd1d100
hex18437bd544

104211404100 has 54 divisors (see below), whose sum is σ = 326644859450. Its totient is φ = 27789707520.

The previous prime is 104211404093. The next prime is 104211404111. The reversal of 104211404100 is 1404112401.

104211404100 is a `hidden beast` number, since 1 + 0 + 4 + 211 + 40 + 410 + 0 = 666.

104211404100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 178062336 + 104033341764 = 13344^2 + 322542^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57894325 + ... + 57896124.

Almost surely, 2104211404100 is an apocalyptic number.

104211404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104211404100 is an abundant number, since it is smaller than the sum of its proper divisors (222433455350).

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

104211404100 is a wasteful number, since it uses less digits than its factorization.

104211404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115790469 (or 115790459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 104211404100 its reverse (1404112401), we get a palindrome (105615516501).

The spelling of 104211404100 in words is "one hundred four billion, two hundred eleven million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 115790449 231580898 347371347 463161796 578952245 694742694 1042114041 1157904490 1389485388 1736856735 2084228082 2315808980 2894761225 3473713470 4168456164 5210570205 5789522450 6947426940 8684283675 10421140410 11579044900 17368567350 20842280820 26052851025 34737134700 52105702050 104211404100