Search a number
-
+
104551002351120 = 243513101467829857
BaseRepresentation
bin10111110001011010101101…
…010110110010011000010000
3111201011222102010010211022210
4113301122231112302120100
5102200430423100213440
61010210022321232120
731010363205643203
oct2761325526623020
9451158363124283
10104551002351120
1130349916208546
12b886827192640
13464516a6b0520
141bb641cc6593a
15c14928c4aa80
hex5f16ad5b2610

104551002351120 has 640 divisors, whose sum is σ = 354088951856640. Its totient is φ = 25365956198400.

The previous prime is 104551002351049. The next prime is 104551002351137. The reversal of 104551002351120 is 21153200155401.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121996501732 + ... + 121996502588.

It is an arithmetic number, because the mean of its divisors is an integer number (553263987276).

Almost surely, 2104551002351120 is an apocalyptic number.

104551002351120 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 104551002351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177044475928320).

104551002351120 is an abundant number, since it is smaller than the sum of its proper divisors (249537949505520).

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

104551002351120 is a wasteful number, since it uses less digits than its factorization.

104551002351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 104551002351120 in words is "one hundred four trillion, five hundred fifty-one billion, two million, three hundred fifty-one thousand, one hundred twenty".