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221002201120100 = 22522777978418813
BaseRepresentation
bin110010010000000000010101…
…101100010011110101100100
31001222111121022101022110211212
4302100000111230103311210
5212431400001441320400
62102011002023450552
764356611365321301
oct6220002554236544
91058447271273755
10221002201120100
11644665640203a4
1220953859bb6a58
13964155887287a
143c807c67780a8
151a83b93a2a335
hexc90015b13d64

221002201120100 has 36 divisors (see below), whose sum is σ = 481306093373364. Its totient is φ = 88081743684480.

The previous prime is 221002201120097. The next prime is 221002201120121. The reversal of 221002201120100 is 1021102200122.

It can be written as a sum of positive squares in 6 ways, for example, as 24360364526884 + 196641836593216 = 4935622^2 + 14022904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3989181707 + ... + 3989237106.

Almost surely, 2221002201120100 is an apocalyptic number.

221002201120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002201120100 is an abundant number, since it is smaller than the sum of its proper divisors (260303892253264).

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

221002201120100 is a wasteful number, since it uses less digits than its factorization.

221002201120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978419104 (or 7978419097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221002201120100 its reverse (1021102200122), we get a palindrome (222023303320222).

The spelling of 221002201120100 in words is "two hundred twenty-one trillion, two billion, two hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 2770 5540 6925 13850 27700 7978418813 15956837626 31913675252 39892094065 79784188130 159568376260 199460470325 398920940650 797841881300 2210022011201 4420044022402 8840088044804 11050110056005 22100220112010 44200440224020 55250550280025 110501100560050 221002201120100