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221102221101102 = 232112348551212363
BaseRepresentation
bin110010010001011101011111…
…010110010000100000101110
31001222212011110221112221212200
4302101131133112100200232
5212440014322100213402
62102124542543042330
764400052104166405
oct6221353726204056
91058764427487780
10221102221101102
11644a4a1a763520
122096b1125a03a6
13964ab08559b93
143c8559431a63c
151a865998b021c
hexc9175f59082e

221102221101102 has 48 divisors (see below), whose sum is σ = 545327217272448. Its totient is φ = 64087600317840.

The previous prime is 221102221101053. The next prime is 221102221101149. The reversal of 221102221101102 is 201101122201122.

221102221101102 is a `hidden beast` number, since 221 + 1 + 0 + 222 + 110 + 110 + 2 = 666.

It is a super-2 number, since 2×2211022211011022 (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 a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24275601628 + ... + 24275610735.

It is an arithmetic number, because the mean of its divisors is an integer number (11360983693176).

Almost surely, 2221102221101102 is an apocalyptic number.

221102221101102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221102221101102 is an abundant number, since it is smaller than the sum of its proper divisors (324224996171346).

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

221102221101102 is a wasteful number, since it uses less digits than its factorization.

221102221101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48551212405 (or 48551212402 counting only the distinct ones).

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

Adding to 221102221101102 its reverse (201101122201122), we get a palindrome (422203343302224).

The spelling of 221102221101102 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty-one million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 48551212363 97102424726 145653637089 291307274178 436960911267 534063335993 873921822534 1068126671986 1116677884349 1602190007979 2233355768698 3204380015958 3350033653047 4806570023937 6700067306094 9613140047874 10050100959141 12283456727839 20100201918282 24566913455678 36850370183517 73700740367034 110551110550551 221102221101102