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10202330000 = 24541020233
BaseRepresentation
bin10011000000001101…
…10011001110010000
3222100000111001201002
421200012303032100
5131343244030000
64404211201132
7510552242222
oct114006631620
928300431632
1010202330000
114365a49595
121b888a61a8
13c678ac175
146cad90412
153eaa278d5
hex2601b3390

10202330000 has 50 divisors (see below), whose sum is σ = 24700885374. Its totient is φ = 4080928000.

The previous prime is 10202329999. The next prime is 10202330009. The reversal of 10202330000 is 3320201.

It can be written as a sum of positive squares in 5 ways, for example, as 4944339856 + 5257990144 = 70316^2 + 72512^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (10202330009) 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 9 ways as a sum of consecutive naturals, for example, 500117 + ... + 520116.

Almost surely, 210202330000 is an apocalyptic number.

10202330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202330000 is an abundant number, since it is smaller than the sum of its proper divisors (14498555374).

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

10202330000 is an equidigital number, since it uses as much as digits as its factorization.

10202330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020261 (or 1020240 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10202330000 its reverse (3320201), we get a palindrome (10205650201).

The spelling of 10202330000 in words is "ten billion, two hundred two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1020233 2040466 4080932 5101165 8161864 10202330 16323728 20404660 25505825 40809320 51011650 81618640 102023300 127529125 204046600 255058250 408093200 510116500 637645625 1020233000 1275291250 2040466000 2550582500 5101165000 10202330000