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221202101220112 = 242317327771251179
BaseRepresentation
bin110010010010111010100000…
…101010101011001100010000
31002000012201021202121201022201
4302102322200222223030100
5212443133400403020422
62102242501544412544
764410216164200555
oct6222724052531420
91060181252551281
10221202101220112
1164533314459221
1220986548177154
13965736528490c
143c8a34b492a2c
151a88e93319727
hexc92ea0aab310

221202101220112 has 80 divisors (see below), whose sum is σ = 449960321946240. Its totient is φ = 105142833314816.

The previous prime is 221202101219987. The next prime is 221202101220137. The reversal of 221202101220112 is 211022101202122.

It is a self number, because there is not a number n which added to its sum of digits gives 221202101220112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176169339 + ... + 177420517.

It is an arithmetic number, because the mean of its divisors is an integer number (5624504024328).

Almost surely, 2221202101220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221202101220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224980160973120).

221202101220112 is an abundant number, since it is smaller than the sum of its proper divisors (228758220726128).

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

221202101220112 is a wasteful number, since it uses less digits than its factorization.

221202101220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254160 (or 1254154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221202101220112 its reverse (211022101202122), we get a palindrome (432224202422234).

The spelling of 221202101220112 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 173 184 346 368 692 1384 2768 2777 3979 5554 7958 11108 15916 22216 31832 44432 63664 63871 127742 255484 480421 510968 960842 1021936 1251179 1921684 2502358 3843368 5004716 7686736 10009432 11049683 20018864 22099366 28777117 44198732 57554234 88397464 115108468 176794928 216453967 230216936 432907934 460433872 865815868 1731631736 3463263472 3474524083 4978441241 6949048166 9956882482 13898096332 19913764964 27796192664 39827529928 55592385328 79655059856 79914053909 159828107818 319656215636 601092666359 639312431272 1202185332718 1278624862544 2404370665436 4808741330872 9617482661744 13825131326257 27650262652514 55300525305028 110601050610056 221202101220112