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10120102000 = 24535060051
BaseRepresentation
bin10010110110011010…
…01000000001110000
3222010021202110002121
421123031020001300
5131211221231000
64352112524024
7505533306361
oct113315100160
928107673077
1010120102000
114323596468
121b65250614
13c5384b948
146c00a7b68
153e36d3b1a
hex25b348070

10120102000 has 40 divisors (see below), whose sum is σ = 24470411472. Its totient is φ = 4048040000.

The previous prime is 10120101991. The next prime is 10120102001. The reversal of 10120102000 is 20102101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120102001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2528026 + ... + 2532025.

Almost surely, 210120102000 is an apocalyptic number.

10120102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120102000 is an abundant number, since it is smaller than the sum of its proper divisors (14350309472).

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

10120102000 is an equidigital number, since it uses as much as digits as its factorization.

10120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060074 (or 5060058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10120102000 its reverse (20102101), we get a palindrome (10140204101).

The spelling of 10120102000 in words is "ten billion, one hundred twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5060051 10120102 20240204 25300255 40480408 50600510 80960816 101201020 126501275 202402040 253002550 404804080 506005100 632506375 1012010200 1265012750 2024020400 2530025500 5060051000 10120102000