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102222022222122 = 231110122816722857
BaseRepresentation
bin10111001111100001101011…
…010100101010000100101010
3111101221022220111010212020120
4113033201223110222010222
5101344301200142101442
61001224052042304110
730350204001325455
oct2717415324520452
9441838814125216
10102222022222122
112a631130692630
12b56b3904b8036
13450665932c13a
141b3580246a49c
15bc406928e4ec
hex5cf86b52a12a

102222022222122 has 64 divisors (see below), whose sum is σ = 225336862009728. Its totient is φ = 30656223360000.

The previous prime is 102222022222109. The next prime is 102222022222139. The reversal of 102222022222122 is 221222220222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222022222092 and 102222022222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11843718 + ... + 18566574.

It is an arithmetic number, because the mean of its divisors is an integer number (3520888468902).

Almost surely, 2102222022222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222022222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112668431004864).

102222022222122 is an abundant number, since it is smaller than the sum of its proper divisors (123114839787606).

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

102222022222122 is a wasteful number, since it uses less digits than its factorization.

102222022222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725255.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102222022222122 its reverse (221222220222201), we get a palindrome (323444242444323).

The spelling of 102222022222122 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 2281 3333 4562 6666 6843 13686 25091 50182 75273 150546 230381 460762 691143 1382286 2534191 5068382 6722857 7602573 13445714 15205146 20168571 40337142 73951427 147902854 221854281 443708562 679008557 1358017114 2037025671 4074051342 7469094127 14938188254 15334836817 22407282381 30669673634 44814564762 46004510451 92009020902 168683204987 337366409974 506049614961 1012099229922 1548818518517 3097637037034 4646455555551 9292911111102 17037003703687 34074007407374 51111011111061 102222022222122