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10104104120 = 2351178729179
BaseRepresentation
bin10010110100100000…
…00110010010111000
3222002011122200010112
421122100012102320
5131143122312440
64350342003452
7505250316335
oct113220062270
928064580115
1010104104120
114315559a80
121b5ba16588
13c5043a046
146bbd0198c
153e20c3965
hex25a4064b8

10104104120 has 64 divisors (see below), whose sum is σ = 24833347200. Its totient is φ = 3669425280.

The previous prime is 10104104113. The next prime is 10104104141. The reversal of 10104104120 is 2140140101.

It is a junction number, because it is equal to n+sod(n) for n = 10104104095 and 10104104104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 331691 + ... + 360869.

It is an arithmetic number, because the mean of its divisors is an integer number (388021050).

Almost surely, 210104104120 is an apocalyptic number.

10104104120 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 10104104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416673600).

10104104120 is an abundant number, since it is smaller than the sum of its proper divisors (14729243080).

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

10104104120 is a wasteful number, since it uses less digits than its factorization.

10104104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29988 (or 29984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10104104120 its reverse (2140140101), we get a palindrome (12244244221).

The spelling of 10104104120 in words is "ten billion, one hundred four million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 787 1574 3148 3935 6296 7870 8657 15740 17314 29179 31480 34628 43285 58358 69256 86570 116716 145895 173140 233432 291790 320969 346280 583580 641938 1167160 1283876 1604845 2567752 3209690 6419380 12838760 22963873 45927746 91855492 114819365 183710984 229638730 252602603 459277460 505205206 918554920 1010410412 1263013015 2020820824 2526026030 5052052060 10104104120