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221113131212020 = 225431272024474741
BaseRepresentation
bin110010010001100111101001…
…101001000001110011110100
31001222220012122021212000110211
4302101213221221001303310
5212440204143042241040
62102133545320355204
764400616342461065
oct6221475151016364
91058805567760424
10221113131212020
11644a9609186313
1220971258315b04
13964bb56970c08
143c85d0b2ac56c
151a869d75e58ea
hexc919e9a41cf4

221113131212020 has 48 divisors (see below), whose sum is σ = 478877353371648. Its totient is φ = 85708162592640.

The previous prime is 221113131212003. The next prime is 221113131212023. The reversal of 221113131212020 is 20212131311122.

It is a happy number.

It is a super-2 number, since 2×2211131312120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221113131211982 and 221113131212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221113131212023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1012128151 + ... + 1012346590.

It is an arithmetic number, because the mean of its divisors is an integer number (9976611528576).

Almost surely, 2221113131212020 is an apocalyptic number.

221113131212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221113131212020 is an abundant number, since it is smaller than the sum of its proper divisors (257764222159628).

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

221113131212020 is a wasteful number, since it uses less digits than its factorization.

221113131212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024474920 (or 2024474918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 221113131212020 its reverse (20212131311122), we get a palindrome (241325262523142).

The spelling of 221113131212020 in words is "two hundred twenty-one trillion, one hundred thirteen billion, one hundred thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 860 1270 2540 5461 10922 21844 27305 54610 109220 2024474741 4048949482 8097898964 10122373705 20244747410 40489494820 87052413863 174104827726 257108292107 348209655452 435262069315 514216584214 870524138630 1028433168428 1285541460535 1741048277260 2571082921070 5142165842140 11055656560601 22111313121202 44222626242404 55278282803005 110556565606010 221113131212020