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20122110100 = 2252201221101
BaseRepresentation
bin10010101111010111…
…110000100010010100
31220221100022002211001
4102233113300202110
5312202230010400
613124410353044
71311434054011
oct225727604224
956840262731
1020122110100
118596452164
123a96a2b784
131b88a90131
14d8c5d0708
157cb83ba6a
hex4af5f0894

20122110100 has 18 divisors (see below), whose sum is σ = 43664979134. Its totient is φ = 8048844000.

The previous prime is 20122110097. The next prime is 20122110121. The reversal of 20122110100 is 101122102.

It can be written as a sum of positive squares in 3 ways, for example, as 1695133584 + 18426976516 = 41172^2 + 135746^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 5 ways as a sum of consecutive naturals, for example, 100610451 + ... + 100610650.

Almost surely, 220122110100 is an apocalyptic number.

20122110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122110100 is an abundant number, since it is smaller than the sum of its proper divisors (23542869034).

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

20122110100 is a wasteful number, since it uses less digits than its factorization.

20122110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201221115 (or 201221108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20122110100 its reverse (101122102), we get a palindrome (20223232202).

It can be divided in two parts, 2012 and 2110100, that added together give a palindrome (2112112).

The spelling of 20122110100 in words is "twenty billion, one hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 201221101 402442202 804884404 1006105505 2012211010 4024422020 5030527525 10061055050 20122110100