Search a number
-
+
221121010112202 = 23237332013528697
BaseRepresentation
bin110010010001101110111111…
…010000101001011011001010
31001222220221222101101121122200
4302101232333100221123022
5212440321312042042302
62102141331212501030
764401315523146414
oct6221567720513312
91058827871347580
10221121010112202
1164501991660672
1220972896a7a776
13964c811093625
143c864578519b4
151a86ce916e81c
hexc91bbf4296ca

221121010112202 has 24 divisors (see below), whose sum is σ = 492044049530436. Its totient is φ = 71714922198336.

The previous prime is 221121010112137. The next prime is 221121010112203. The reversal of 221121010112202 is 202211010121122.

221121010112202 is a `hidden beast` number, since 2 + 211 + 210 + 10 + 11 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211302244265121 + 9818765847081 = 14536239^2 + 3133491^2 .

It is a super-2 number, since 2×2211210101122022 (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 not an unprimeable number, because it can be changed into a prime (221121010112203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166006763683 + ... + 166006765014.

Almost surely, 2221121010112202 is an apocalyptic number.

221121010112202 is an abundant number, since it is smaller than the sum of its proper divisors (270923039418234).

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

221121010112202 is a wasteful number, since it uses less digits than its factorization.

221121010112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332013528742 (or 332013528739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221121010112202 its reverse (202211010121122), we get a palindrome (423332020233324).

The spelling of 221121010112202 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, ten million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 332013528697 664027057394 996040586091 1992081172182 2988121758273 5976243516546 12284500561789 24569001123578 36853501685367 73707003370734 110560505056101 221121010112202