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221002101021200 = 2452552505252553
BaseRepresentation
bin110010010000000000001111…
…101110011101101000010000
31001222111121001101221220222012
4302100000033232131220100
5212431344300330134300
62102010544050202052
764356606041434622
oct6220001756355020
91058447041856865
10221002101021200
1164466512571634
1220953830583328
139641540bc6055
143c807b735cc12
151a83b89d56435
hexc9000fb9da10

221002101021200 has 30 divisors (see below), whose sum is σ = 530957547704394. Its totient is φ = 88400840408320.

The previous prime is 221002101021157. The next prime is 221002101021217. The reversal of 221002101021200 is 2120101200122.

It can be written as a sum of positive squares in 3 ways, for example, as 3815740305664 + 217186360715536 = 1953392^2 + 14737244^2 .

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 5 ways as a sum of consecutive naturals, for example, 276252625877 + ... + 276252626676.

Almost surely, 2221002101021200 is an apocalyptic number.

221002101021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002101021200 is an abundant number, since it is smaller than the sum of its proper divisors (309955446683194).

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

221002101021200 is a wasteful number, since it uses less digits than its factorization.

221002101021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552505252571 (or 552505252560 counting only the distinct ones).

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

Adding to 221002101021200 its reverse (2120101200122), we get a palindrome (223122202221322).

The spelling of 221002101021200 in words is "two hundred twenty-one trillion, two billion, one hundred one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 552505252553 1105010505106 2210021010212 2762526262765 4420042020424 5525052525530 8840084040848 11050105051060 13812631313825 22100210102120 27625262627650 44200420204240 55250525255300 110501050510600 221002101021200