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10120802000 = 24535060401
BaseRepresentation
bin10010110110011111…
…10010111011010000
3222010100002000022112
421123033302323100
5131211411131000
64352135524452
7505542253241
oct113317627320
928110060275
1010120802000
114323a24381
121b65529728
13c53a3544a
146c020acc8
153e37c1235
hex25b3f2ed0

10120802000 has 40 divisors (see below), whose sum is σ = 24472104072. Its totient is φ = 4048320000.

The previous prime is 10120801969. The next prime is 10120802039. The reversal of 10120802000 is 20802101.

It can be written as a sum of positive squares in 4 ways, for example, as 2262334096 + 7858467904 = 47564^2 + 88648^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 2528201 + ... + 2532200.

Almost surely, 210120802000 is an apocalyptic number.

10120802000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120802000 is an abundant number, since it is smaller than the sum of its proper divisors (14351302072).

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

10120802000 is an equidigital number, since it uses as much as digits as its factorization.

10120802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060424 (or 5060408 counting only the distinct ones).

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

The spelling of 10120802000 in words is "ten billion, one hundred twenty million, eight hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5060401 10120802 20241604 25302005 40483208 50604010 80966416 101208020 126510025 202416040 253020050 404832080 506040100 632550125 1012080200 1265100250 2024160400 2530200500 5060401000 10120802000