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221220020022122 = 21124127182272731
BaseRepresentation
bin110010010011001011001100…
…101101011110101101101010
31002000021102112120000011122102
4302103023030231132231222
5212443432100111201442
62102255024010453402
764411422215410052
oct6223131455365552
91060242476004572
10221220020022122
116453a97a121400
1220989b09134262
139658c5c725744
143c8b16b1c4562
151a896914d4232
hexc932ccb5eb6a

221220020022122 has 48 divisors (see below), whose sum is σ = 375013592456832. Its totient is φ = 97740003240000.

The previous prime is 221220020022091. The next prime is 221220020022173.

221220020022122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221220020022094 and 221220020022103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38447504 + ... + 43825227.

It is an arithmetic number, because the mean of its divisors is an integer number (7812783176184).

Almost surely, 2221220020022122 is an apocalyptic number.

221220020022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221220020022122 is a deficient number, since it is larger than the sum of its proper divisors (153793572434710).

221220020022122 is a wasteful number, since it uses less digits than its factorization.

221220020022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82273067 (or 82273056 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 221220020022122 in words is "two hundred twenty-one trillion, two hundred twenty billion, twenty million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 41 82 121 242 271 451 542 902 2981 4961 5962 9922 11111 22222 32791 65582 122221 244442 1344431 2688862 82272731 164545462 905000041 1810000082 3373181971 6746363942 9955000451 19910000902 22295910101 37105001681 44591820202 74210003362 245255011111 408155018491 490510022222 816310036982 914132314141 1828264628282 2697805122221 5395610244442 10055455455551 20110910911102 110610010011061 221220020022122