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10202021000 = 235310202021
BaseRepresentation
bin10011000000001011…
…00111110010001000
3222022222220100211122
421200011213302020
5131343204133000
64404200414412
7510546514313
oct114005476210
928288810748
1010202021000
114365858416
121b88777408
13c67801622
146cad0d97a
153ea9b6085
hex260167c88

10202021000 has 32 divisors (see below), whose sum is σ = 23872731480. Its totient is φ = 4080808000.

The previous prime is 10202020973. The next prime is 10202021023. The reversal of 10202021000 is 12020201.

It can be written as a sum of positive squares in 4 ways, for example, as 6406721764 + 3795299236 = 80042^2 + 61606^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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, 5100011 + ... + 5102010.

Almost surely, 210202021000 is an apocalyptic number.

10202021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202021000 is an abundant number, since it is smaller than the sum of its proper divisors (13670710480).

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

10202021000 is a wasteful number, since it uses less digits than its factorization.

10202021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202042 (or 10202028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10202021000 its reverse (12020201), we get a palindrome (10214041201).

The spelling of 10202021000 in words is "ten billion, two hundred two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10202021 20404042 40808084 51010105 81616168 102020210 204040420 255050525 408080840 510101050 1020202100 1275252625 2040404200 2550505250 5101010500 10202021000