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221002221120102 = 232371033221700649
BaseRepresentation
bin110010010000000000010110…
…111000100110101001100110
31001222111121100202221120200200
4302100000112320212221212
5212431400022101320402
62102011004020251330
764356612030320322
oct6220002670465146
91058447322846620
10221002221120102
1164466574340724
1220953864840b46
13964155ca55ca6
143c807c92a2982
151a83b9567b21c
hexc90016e26a66

221002221120102 has 48 divisors (see below), whose sum is σ = 496554277783200. Its totient is φ = 70980508676736.

The previous prime is 221002221120061. The next prime is 221002221120127. The reversal of 221002221120102 is 201021122200122.

It is a happy number.

221002221120102 is a `hidden beast` number, since 221 + 0 + 0 + 2 + 221 + 120 + 102 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610781727 + ... + 1610918922.

It is an arithmetic number, because the mean of its divisors is an integer number (10344880787150).

Almost surely, 2221002221120102 is an apocalyptic number.

221002221120102 is an abundant number, since it is smaller than the sum of its proper divisors (275552056663098).

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

221002221120102 is a wasteful number, since it uses less digits than its factorization.

221002221120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221700797 (or 3221700794 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221002221120102 its reverse (201021122200122), we get a palindrome (422023343320224).

The spelling of 221002221120102 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 103 111 206 222 309 333 618 666 927 1854 3811 7622 11433 22866 34299 68598 3221700649 6443401298 9665101947 19330203894 28995305841 57990611682 119202924013 238405848026 331835166847 357608772039 663670333694 715217544078 995505500541 1072826316117 1991011001082 2145652632234 2986516501623 5973033003246 12277901173339 24555802346678 36833703520017 73667407040034 110501110560051 221002221120102