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102202212210021 = 32711213407085427
BaseRepresentation
bin10111001111001111001110…
…100011011101010101100101
3111101212102202220002222101200
4113033033032203131111211
5101343440112311210041
61001211014221113113
730345603044106240
oct2717171643352545
9441772686088350
10102202212210021
112a623795428300
12b5675820b8799
1345048201145a1
141b348834bc257
15bc37aa0511b6
hex5cf3ce8dd565

102202212210021 has 36 divisors (see below), whose sum is σ = 185446805640096. Its totient is φ = 53092058286960.

The previous prime is 102202212210019. The next prime is 102202212210029. The reversal of 102202212210021 is 120012212202201.

It is a happy number.

102202212210021 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 212 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 102202212210021 - 21 = 102202212210019 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102202212209976 and 102202212210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202212210029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6703535091 + ... + 6703550336.

Almost surely, 2102202212210021 is an apocalyptic number.

102202212210021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202212210021 is a deficient number, since it is larger than the sum of its proper divisors (83244593430075).

102202212210021 is a wasteful number, since it uses less digits than its factorization.

102202212210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407085462 (or 13407085448 counting only the distinct ones).

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

Adding to 102202212210021 its reverse (120012212202201), we get a palindrome (222214424412222).

The spelling of 102202212210021 in words is "one hundred two trillion, two hundred two billion, two hundred twelve million, two hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 13407085427 40221256281 93849597989 120663768843 147477939697 281548793967 442433819091 844646381901 1032345577879 1327301457273 1622257336667 3097036733637 4866772010001 9291110200911 11355801356669 14600316030003 34067404070007 102202212210021