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20101221200 = 245250253053
BaseRepresentation
bin10010101110001000…
…000100101101010000
31220212212222211122002
4102232020010231100
5312131403034300
613122342533132
71311061363304
oct225610045520
956785884562
1020101221200
118585685005
123a8ba371a8
131b84658238
14d89913d04
157c9ab25d5
hex4ae204b50

20101221200 has 30 divisors (see below), whose sum is σ = 48293184894. Its totient is φ = 8040488320.

The previous prime is 20101221193. The next prime is 20101221271. The reversal of 20101221200 is 212210102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4323851536 + 15777369664 = 65756^2 + 125608^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 25126127 + ... + 25126926.

Almost surely, 220101221200 is an apocalyptic number.

20101221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221200 is an abundant number, since it is smaller than the sum of its proper divisors (28191963694).

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

20101221200 is a wasteful number, since it uses less digits than its factorization.

20101221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50253071 (or 50253060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20101221200 its reverse (212210102), we get a palindrome (20313431302).

The spelling of 20101221200 in words is "twenty billion, one hundred one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50253053 100506106 201012212 251265265 402024424 502530530 804048848 1005061060 1256326325 2010122120 2512652650 4020244240 5025305300 10050610600 20101221200