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220031212023119 = 72295317891633067
BaseRepresentation
bin110010000001111000000010…
…001110110110110101001111
31001212001210000111000121202102
4302001320002032312311033
5212314442410234214434
62055544535433345315
764226505360220400
oct6201700216666517
91055053014017672
10220031212023119
1164121792a92312
122081763386823b
1395a0b14a7b843
143c497d32699a7
151a687b416207e
hexc81e023b6d4f

220031212023119 has 48 divisors (see below), whose sum is σ = 269927523424800. Its totient is φ = 178559070633216.

The previous prime is 220031212023109. The next prime is 220031212023127. The reversal of 220031212023119 is 911320212130022.

It is not a de Polignac number, because 220031212023119 - 28 = 220031212022863 is a prime.

It is a super-2 number, since 2×2200312120231192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220031212023091 and 220031212023100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220031212023109) 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 47 ways as a sum of consecutive naturals, for example, 133918424 + ... + 135551490.

It is an arithmetic number, because the mean of its divisors is an integer number (5623490071350).

Almost surely, 2220031212023119 is an apocalyptic number.

220031212023119 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

220031212023119 is a deficient number, since it is larger than the sum of its proper divisors (49896311401681).

220031212023119 is a wasteful number, since it uses less digits than its factorization.

220031212023119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634952 (or 1634945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 220031212023119 in words is "two hundred twenty trillion, thirty-one billion, two hundred twelve million, twenty-three thousand, one hundred nineteen".

Divisors: 1 7 29 49 53 203 371 1421 1537 1789 2597 10759 12523 51881 75313 87661 94817 363167 663719 1633067 2542169 2749693 4646033 11431469 19247851 47358943 80020283 86552551 134734957 331512601 605867857 2320588207 2510023979 2921556863 4241074999 17570167853 20450898041 84725149027 122991174971 143156286287 154842513739 593076043189 1083897596173 4151532302323 4490432898431 7587283173211 31433030289017 220031212023119