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20111122100 = 2252201111221
BaseRepresentation
bin10010101110101101…
…110101111010110100
31220220120121212010002
4102232231311322310
5312141421401400
613123335050432
71311241501016
oct225655657264
956816555102
1020111122100
118590227773
123a93210a18
131b86713964
14d8ad701b6
157ca8baed5
hex4aeb75eb4

20111122100 has 18 divisors (see below), whose sum is σ = 43641135174. Its totient is φ = 8044448800.

The previous prime is 20111122091. The next prime is 20111122123. The reversal of 20111122100 is 122111102.

It can be written as a sum of positive squares in 3 ways, for example, as 3766522384 + 16344599716 = 61372^2 + 127846^2 .

It is a super-2 number, since 2×201111221002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100555511 + ... + 100555710.

Almost surely, 220111122100 is an apocalyptic number.

20111122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111122100 is an abundant number, since it is smaller than the sum of its proper divisors (23530013074).

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

20111122100 is a wasteful number, since it uses less digits than its factorization.

20111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201111235 (or 201111228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20111122100 its reverse (122111102), we get a palindrome (20233233202).

The spelling of 20111122100 in words is "twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 201111221 402222442 804444884 1005556105 2011112210 4022224420 5027780525 10055561050 20111122100