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221010212200100 = 22525333894143509
BaseRepresentation
bin110010010000000111110011…
…001100001001111010100100
31001222112100222200120111122112
4302100013303030021322210
5212432012403310400400
62102014405001020152
764360314042346541
oct6220076314117244
91058470880514575
10221010212200100
11644699a5076374
1220955314a84658
139642234494cab
143c80d466c7bc8
151a83eb1eb3835
hexc901f3309ea4

221010212200100 has 36 divisors (see below), whose sum is σ = 479593175361300. Its totient is φ = 88403897804160.

The previous prime is 221010212200081. The next prime is 221010212200139. The reversal of 221010212200100 is 1002212010122.

It can be written as a sum of positive squares in 6 ways, for example, as 5160284683876 + 215849927516224 = 2271626^2 + 14691832^2 .

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, 51267146 + ... + 55410654.

It is an arithmetic number, because the mean of its divisors is an integer number (13322032648925).

Almost surely, 2221010212200100 is an apocalyptic number.

221010212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010212200100 is an abundant number, since it is smaller than the sum of its proper divisors (258582963161200).

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

221010212200100 is a wasteful number, since it uses less digits than its factorization.

221010212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676912 (or 4676905 counting only the distinct ones).

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

Adding to 221010212200100 its reverse (1002212010122), we get a palindrome (222012424210222).

The spelling of 221010212200100 in words is "two hundred twenty-one trillion, ten billion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 533389 1066778 2133556 2666945 4143509 5333890 8287018 10667780 13334725 16574036 20717545 26669450 41435090 53338900 82870180 103587725 207175450 414350900 2210102122001 4420204244002 8840408488004 11050510610005 22101021220010 44202042440020 55252553050025 110505106100050 221010212200100