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102222122001 = 32359227311047
BaseRepresentation
bin101111100110011101…
…0011100110000010001
3100202212000221211120120
41133030322130300101
53133322330401001
6114543222500453
710246105462206
oct1371472346021
9322760854516
10102222122001
113a3967a526a
1217989b94729
139840cb832c
144d3a219cad
1529d4376236
hex17cce9cc11

102222122001 has 32 divisors (see below), whose sum is σ = 144709355520. Its totient is φ = 64046298624.

The previous prime is 102222121891. The next prime is 102222122027. The reversal of 102222122001 is 100221222201.

It is not a de Polignac number, because 102222122001 - 211 = 102222119953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102222122501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9247860 + ... + 9258906.

It is an arithmetic number, because the mean of its divisors is an integer number (4522167360).

Almost surely, 2102222122001 is an apocalyptic number.

It is an amenable number.

102222122001 is a deficient number, since it is larger than the sum of its proper divisors (42487233519).

102222122001 is a wasteful number, since it uses less digits than its factorization.

102222122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102222122001 its reverse (100221222201), we get a palindrome (202443344202).

The spelling of 102222122001 in words is "one hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, one".

Divisors: 1 3 23 59 69 177 1357 2273 4071 6819 11047 33141 52279 134107 156837 254081 402321 651773 762243 1955319 3084461 9253383 14990779 25109831 44972337 75329493 577526113 1481480029 1732578339 4444440087 34074040667 102222122001