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10020020000 = 2554501001
BaseRepresentation
bin10010101010011110…
…10101111100100000
3221212022102202101212
421111033111330200
5131010111120000
64334135445252
7503206523204
oct112517257440
927768382355
1010020020000
114282049371
121b37826828
13c38ba9a23
146b0a94b04
153d9a14c35
hex2553d5f20

10020020000 has 60 divisors (see below), whose sum is σ = 24650801406. Its totient is φ = 4008000000.

The previous prime is 10020019969. The next prime is 10020020009. The reversal of 10020020000 is 2002001.

10020020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 780196624 + 9239823376 = 27932^2 + 96124^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10020020009) 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 9 ways as a sum of consecutive naturals, for example, 230501 + ... + 270500.

Almost surely, 210020020000 is an apocalyptic number.

10020020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020020000 is an abundant number, since it is smaller than the sum of its proper divisors (14630781406).

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

10020020000 is an frugal number, since it uses more digits than its factorization.

10020020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501031 (or 501008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10020020000 its reverse (2002001), we get a palindrome (10022022001).

The spelling of 10020020000 in words is "ten billion, twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 501001 1002002 2004004 2505005 4008008 5010010 8016016 10020020 12525025 16032032 20040040 25050050 40080080 50100100 62625125 80160160 100200200 125250250 200400400 250500500 313125625 400800800 501001000 626251250 1002002000 1252502500 2004004000 2505005000 5010010000 10020020000