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104004122100 = 223522571348951
BaseRepresentation
bin110000011011100100…
…0001111010111110100
3100221110020002211011020
41200313020033113310
53201000023401400
6115440121141140
710341214310604
oct1406710172764
9327406084136
10104004122100
114012068531a
12181a692a7b0
139a66245468
145068b68c04
152a8aa262a0
hex183720f5f4

104004122100 has 72 divisors (see below), whose sum is σ = 302089706688. Its totient is φ = 27626496000.

The previous prime is 104004122099. The next prime is 104004122113. The reversal of 104004122100 is 1221400401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104004122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597376 + ... + 751575.

Almost surely, 2104004122100 is an apocalyptic number.

104004122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104004122100 is an abundant number, since it is smaller than the sum of its proper divisors (198085584588).

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

104004122100 is a wasteful number, since it uses less digits than its factorization.

104004122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349225 (or 1349218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 104004122100 its reverse (1221400401), we get a palindrome (105225522501).

The spelling of 104004122100 in words is "one hundred four billion, four million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 1028 1285 1542 2570 3084 3855 5140 6425 7710 12850 15420 19275 25700 38550 77100 1348951 2697902 4046853 5395804 6744755 8093706 13489510 16187412 20234265 26979020 33723775 40468530 67447550 80937060 101171325 134895100 202342650 346680407 404685300 693360814 1040041221 1386721628 1733402035 2080082442 3466804070 4160164884 5200206105 6933608140 8667010175 10400412210 17334020350 20800824420 26001030525 34668040700 52002061050 104004122100