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21122001100 = 2252211220011
BaseRepresentation
bin10011101010111110…
…000010100011001100
32000112000202211102001
4103222332002203030
5321224213013400
613411525442044
71345265022064
oct235276024314
960460684361
1021122001100
118a59901062
124115870324
131cb7c8c805
1410453103a4
158394eaa6a
hex4eaf828cc

21122001100 has 18 divisors (see below), whose sum is σ = 45834742604. Its totient is φ = 8448800400.

The previous prime is 21122001071. The next prime is 21122001139. The reversal of 21122001100 is 110022112.

It is a super-2 number, since 2×211220011002 (a number of 21 digits) contains 22 as substring.

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

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, 105609906 + ... + 105610105.

Almost surely, 221122001100 is an apocalyptic number.

21122001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122001100 is an abundant number, since it is smaller than the sum of its proper divisors (24712741504).

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

21122001100 is a wasteful number, since it uses less digits than its factorization.

21122001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211220025 (or 211220018 counting only the distinct ones).

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

Adding to 21122001100 its reverse (110022112), we get a palindrome (21232023212).

The spelling of 21122001100 in words is "twenty-one billion, one hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211220011 422440022 844880044 1056100055 2112200110 4224400220 5280500275 10561000550 21122001100