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201202220220012 = 2232114783106227559
BaseRepresentation
bin101101101111111000001010…
…110111010011111001101100
3222101101202002200002000211200
4231233320022313103321230
5202332444121334020022
61551531005101045500
760244244403503304
oct5557701267237154
9871352080060750
10201202220220012
1159122422a8a610
121a696408556890
13883639883782b
14379834cd70604
15183dae8b3cbac
hexb6fe0add3e6c

201202220220012 has 72 divisors (see below), whose sum is σ = 554946370567680. Its totient is φ = 60957621882720.

The previous prime is 201202220219999. The next prime is 201202220220017. The reversal of 201202220220012 is 210022022202102.

201202220220012 is a `hidden beast` number, since 20 + 1 + 202 + 220 + 220 + 0 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201202220220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51219712 + ... + 55007847.

Almost surely, 2201202220220012 is an apocalyptic number.

201202220220012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201202220220012 is an abundant number, since it is smaller than the sum of its proper divisors (353744150347668).

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

201202220220012 is a wasteful number, since it uses less digits than its factorization.

201202220220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106232363 (or 106232358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201202220220012 its reverse (210022022202102), we get a palindrome (411224242422114).

The spelling of 201202220220012 in words is "two hundred one trillion, two hundred two billion, two hundred twenty million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 4783 9566 14349 19132 28698 43047 52613 57396 86094 105226 157839 172188 210452 315678 473517 631356 947034 1894068 106227559 212455118 318682677 424910236 637365354 956048031 1168503149 1274730708 1912096062 2337006298 3505509447 3824192124 4674012596 7011018894 10516528341 14022037788 21033056682 42066113364 508086414697 1016172829394 1524259244091 2032345658788 3048518488182 4572777732273 5588950561667 6097036976364 9145555464546 11177901123334 16766851685001 18291110929092 22355802246668 33533703370002 50300555055003 67067406740004 100601110110006 201202220220012