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201022111000000 = 26561871107441
BaseRepresentation
bin101101101101010000011011…
…100001001010010111000000
3222100202112012112210122220101
4231231100123201022113000
5202322021240404000000
61551312141035252144
760225240210420433
oct5555203341122700
9870675175718811
10201022111000000
1159062aa9029864
121a6675222aa054
1388223c43a1c74
14378d74486381a
1518390a6a5ce6a
hexb6d41b84a5c0

201022111000000 has 196 divisors, whose sum is σ = 498893825952288. Its totient is φ = 80365120000000.

The previous prime is 201022110999973. The next prime is 201022111000001. The reversal of 201022111000000 is 111220102.

It is a super-2 number, since 2×2010221110000002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022111000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1870946280 + ... + 1871053720.

Almost surely, 2201022111000000 is an apocalyptic number.

201022111000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201022111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249446912976144).

201022111000000 is an abundant number, since it is smaller than the sum of its proper divisors (297871714952288).

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

201022111000000 is an frugal number, since it uses more digits than its factorization.

201022111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109354 (or 109319 counting only the distinct ones).

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

Adding to 201022111000000 its reverse (111220102), we get a palindrome (201022222220102).

The spelling of 201022111000000 in words is "two hundred one trillion, twenty-two billion, one hundred eleven million", and thus it is an aban number.