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221022102022002 = 232100019122766731
BaseRepresentation
bin110010010000010010110111…
…111000001110011101110010
31001222120111200022101001001200
4302100102313320032131302
5212432211231104201002
62102024052453112030
764361214505230411
oct6220226770163562
91058514608331050
10221022102022002
1164473a46614566
1220957692928616
1396433aa861378
143c81753825478
151a8445ac1db1c
hexc904b7e0e772

221022102022002 has 24 divisors (see below), whose sum is σ = 478886012850960. Its totient is φ = 73673296806840.

The previous prime is 221022102021953. The next prime is 221022102022021. The reversal of 221022102022002 is 200220201220122.

221022102022002 is a `hidden beast` number, since 2 + 210 + 2 + 210 + 20 + 220 + 0 + 2 = 666.

221022102022002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59583024 + ... + 63183707.

It is an arithmetic number, because the mean of its divisors is an integer number (19953583868790).

Almost surely, 2221022102022002 is an apocalyptic number.

221022102022002 is an abundant number, since it is smaller than the sum of its proper divisors (257863910828958).

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

221022102022002 is a wasteful number, since it uses less digits than its factorization.

221022102022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122866758 (or 122866755 counting only the distinct ones).

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

Adding to 221022102022002 its reverse (200220201220122), we get a palindrome (421242303242124).

The spelling of 221022102022002 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 100019 200038 300057 600114 900171 1800342 122766731 245533462 368300193 736600386 1104900579 2209801158 12279005667889 24558011335778 36837017003667 73674034007334 110511051011001 221022102022002