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221101240300020 = 223255143923879551
BaseRepresentation
bin110010010001011100100100…
…111000110011000111110100
31001222212001221121000002201200
4302101130210320303013310
5212440010320004100040
62102124301345052500
764400015564420133
oct6221344470630764
91058761847002650
10221101240300020
11644a4567063113
122096aa9a027130
13964a9b02b2602
143c854ddd6991a
151a8653d722630
hexc91724e331f4

221101240300020 has 72 divisors (see below), whose sum is σ = 670686828564480. Its totient is φ = 58959182059200.

The previous prime is 221101240300013. The next prime is 221101240300051. The reversal of 221101240300020 is 20003042101122.

It is a happy number.

221101240300020 is a `hidden beast` number, since 2 + 2 + 1 + 101 + 240 + 300 + 0 + 20 = 666.

It is a super-2 number, since 2×2211012403000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221101240299966 and 221101240300002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2680756 + ... + 21198795.

Almost surely, 2221101240300020 is an apocalyptic number.

221101240300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101240300020 is an abundant number, since it is smaller than the sum of its proper divisors (449585588264460).

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

221101240300020 is a wasteful number, since it uses less digits than its factorization.

221101240300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23931005 (or 23931000 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221101240300020 its reverse (20003042101122), we get a palindrome (241104282401142).

The spelling of 221101240300020 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred forty million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 51439 102878 154317 205756 257195 308634 462951 514390 617268 771585 925902 1028780 1543170 1851804 2314755 3086340 4629510 9259020 23879551 47759102 71638653 95518204 119397755 143277306 214915959 238795510 286554612 358193265 429831918 477591020 716386530 859663836 1074579795 1432773060 2149159590 4298319180 1228340223889 2456680447778 3685020671667 4913360895556 6141701119445 7370041343334 11055062015001 12283402238890 14740082686668 18425103358335 22110124030002 24566804477780 36850206716670 44220248060004 55275310075005 73700413433340 110550620150010 221101240300020