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221121110100200 = 23526011839609901
BaseRepresentation
bin110010010001101111000101…
…001110000100100011101000
31001222220222020100112112101212
4302101233011032010203220
5212440322013141201300
62102141345143532252
764401321146061542
oct6221570516044350
91058828210475355
10221121110100200
1164501a33044082
122097290445a088
13964c828a0181b
143c86466c3c692
151a86d02d20935
hexc91bc53848e8

221121110100200 has 48 divisors (see below), whose sum is σ = 514961999866860. Its totient is φ = 88301275200000.

The previous prime is 221121110100127. The next prime is 221121110100269. The reversal of 221121110100200 is 2001011121122.

It can be written as a sum of positive squares in 6 ways, for example, as 74744359012324 + 146376751087876 = 8645482^2 + 12098626^2 .

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, 919684751 + ... + 919925150.

Almost surely, 2221121110100200 is an apocalyptic number.

221121110100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121110100200 is an abundant number, since it is smaller than the sum of its proper divisors (293840889766660).

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

221121110100200 is a wasteful number, since it uses less digits than its factorization.

221121110100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839610518 (or 1839610509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221121110100200 its reverse (2001011121122), we get a palindrome (223122121221322).

The spelling of 221121110100200 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 601 1202 2404 3005 4808 6010 12020 15025 24040 30050 60100 120200 1839609901 3679219802 7358439604 9198049505 14716879208 18396099010 36792198020 45990247525 73584396040 91980495050 183960990100 367921980200 1105605550501 2211211101002 4422422202004 5528027752505 8844844404008 11056055505010 22112111010020 27640138762525 44224222020040 55280277525050 110560555050100 221121110100200