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10022102000 = 24535011051
BaseRepresentation
bin10010101010101110…
…10010001111110000
3221212110100112100222
421111113102033300
5131011124231000
64334252232212
7503233314161
oct112527221760
927773315328
1010022102000
114283240629
121b3846b668
13c39458591
146b1077768
153d9cc6a85
hex2555d23f0

10022102000 has 40 divisors (see below), whose sum is σ = 24233447472. Its totient is φ = 4008840000.

The previous prime is 10022101997. The next prime is 10022102009. The reversal of 10022102000 is 20122001.

10022102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2503526 + ... + 2507525.

Almost surely, 210022102000 is an apocalyptic number.

10022102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022102000 is an abundant number, since it is smaller than the sum of its proper divisors (14211345472).

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

10022102000 is an equidigital number, since it uses as much as digits as its factorization.

10022102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011074 (or 5011058 counting only the distinct ones).

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

Adding to 10022102000 its reverse (20122001), we get a palindrome (10042224001).

The spelling of 10022102000 in words is "ten billion, twenty-two 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 5011051 10022102 20044204 25055255 40088408 50110510 80176816 100221020 125276275 200442040 250552550 400884080 501105100 626381375 1002210200 1252762750 2004420400 2505525500 5011051000 10022102000