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20102210000 = 24542010221
BaseRepresentation
bin10010101110001011…
…110110000111010000
31220212221212002000022
4102232023312013100
5312132131210000
613122420043012
71311102652145
oct225613660720
956787762008
1020102210000
11858619a9a4
123a90233468
131b84913322
14d89ad03cc
157c9c0a585
hex4ae2f61d0

20102210000 has 50 divisors (see below), whose sum is σ = 48669484842. Its totient is φ = 8040880000.

The previous prime is 20102209991. The next prime is 20102210033. The reversal of 20102210000 is 1220102.

It can be written as a sum of positive squares in 5 ways, for example, as 10988070976 + 9114139024 = 104824^2 + 95468^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 20102210000.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 995111 + ... + 1015110.

Almost surely, 220102210000 is an apocalyptic number.

20102210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102210000 is an abundant number, since it is smaller than the sum of its proper divisors (28567274842).

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

20102210000 is an equidigital number, since it uses as much as digits as its factorization.

20102210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010249 (or 2010228 counting only the distinct ones).

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

Adding to 20102210000 its reverse (1220102), we get a palindrome (20103430102).

The spelling of 20102210000 in words is "twenty billion, one hundred two million, two hundred ten 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 2010221 4020442 8040884 10051105 16081768 20102210 32163536 40204420 50255525 80408840 100511050 160817680 201022100 251277625 402044200 502555250 804088400 1005110500 1256388125 2010221000 2512776250 4020442000 5025552500 10051105000 20102210000