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10121310120 = 2335333125321
BaseRepresentation
bin10010110110100011…
…01110111110101000
3222010101000211022210
421123101232332220
5131212023410440
64352154445120
7505546500525
oct113321567650
928111024283
1010121310120
114324241109
121b657337a0
13c53b827cc
146c030014c
153e3871a80
hex25b46efa8

10121310120 has 64 divisors (see below), whose sum is σ = 30374245440. Its totient is φ = 2698099200.

The previous prime is 10121310119. The next prime is 10121310139. The reversal of 10121310120 is 2101312101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10121310096 and 10121310105.

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 15 ways as a sum of consecutive naturals, for example, 387060 + ... + 412380.

It is an arithmetic number, because the mean of its divisors is an integer number (474597585).

Almost surely, 210121310120 is an apocalyptic number.

10121310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121310120 is an abundant number, since it is smaller than the sum of its proper divisors (20252935320).

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

10121310120 is a wasteful number, since it uses less digits than its factorization.

10121310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28666 (or 28662 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10121310120 its reverse (2101312101), we get a palindrome (12222622221).

The spelling of 10121310120 in words is "ten billion, one hundred twenty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3331 6662 9993 13324 16655 19986 25321 26648 33310 39972 49965 50642 66620 75963 79944 99930 101284 126605 133240 151926 199860 202568 253210 303852 379815 399720 506420 607704 759630 1012840 1519260 3038520 84344251 168688502 253032753 337377004 421721255 506065506 674754008 843442510 1012131012 1265163765 1686885020 2024262024 2530327530 3373770040 5060655060 10121310120