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221010010112200 = 23524312563921231
BaseRepresentation
bin110010010000000111100111…
…001001010000000011001000
31001222112100110121022101011111
4302100013213021100003020
5212432012000042042300
62102014332541340104
764360306036545151
oct6220074711200310
91058470417271144
10221010010112200
1164469900a97781
1220955279267634
13964220165955a
143c80d27920928
151a83e9e3959ba
hexc901e72500c8

221010010112200 has 48 divisors (see below), whose sum is σ = 515040497084160. Its totient is φ = 88198890312000.

The previous prime is 221010010112167. The next prime is 221010010112219. The reversal of 221010010112200 is 2211010010122.

It is a super-3 number, since 3×2210100101122003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281874416 + ... + 1282046815.

It is an arithmetic number, because the mean of its divisors is an integer number (10730010355920).

Almost surely, 2221010010112200 is an apocalyptic number.

221010010112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010010112200 is an abundant number, since it is smaller than the sum of its proper divisors (294030486971960).

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

221010010112200 is a wasteful number, since it uses less digits than its factorization.

221010010112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563921678 (or 2563921669 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221010010112200 its reverse (2211010010122), we get a palindrome (223221020122322).

The spelling of 221010010112200 in words is "two hundred twenty-one trillion, ten billion, ten million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 862 1724 2155 3448 4310 8620 10775 17240 21550 43100 86200 2563921231 5127842462 10255684924 12819606155 20511369848 25639212310 51278424620 64098030775 102556849240 128196061550 256392123100 512784246200 1105050050561 2210100101122 4420200202244 5525250252805 8840400404488 11050500505610 22101001011220 27626251264025 44202002022440 55252502528050 110505005056100 221010010112200