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21122120100 = 2235270407067
BaseRepresentation
bin10011101010111110…
…011111100110100100
32000112000222212122110
4103222332133212210
5321224230320400
613411532201020
71345266026034
oct235276374644
960460885573
1021122120100
118a59982504
124115909170
131cb8001a23
1410453418c4
15839520e50
hex4eaf9f9a4

21122120100 has 36 divisors (see below), whose sum is σ = 61113335024. Its totient is φ = 5632565280.

The previous prime is 21122120077. The next prime is 21122120119. The reversal of 21122120100 is 102122112.

It is a super-2 number, since 2×211221201002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35203234 + ... + 35203833.

Almost surely, 221122120100 is an apocalyptic number.

21122120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122120100 is an abundant number, since it is smaller than the sum of its proper divisors (39991214924).

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

21122120100 is a wasteful number, since it uses less digits than its factorization.

21122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70407084 (or 70407077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21122120100 its reverse (102122112), we get a palindrome (21224242212).

It can be divided in two parts, 2112 and 2120100, that added together give a palindrome (2122212).

The spelling of 21122120100 in words is "twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 70407067 140814134 211221201 281628268 352035335 422442402 704070670 844884804 1056106005 1408141340 1760176675 2112212010 3520353350 4224424020 5280530025 7040706700 10561060050 21122120100