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102222220222122 = 237111337617540991
BaseRepresentation
bin10111001111100001110111…
…000111111101111010101010
3111101221100102021201022011220
4113033201313013331322222
5101344302101334101442
61001224123434202510
730350211624313110
oct2717416707757252
9441840367638156
10102222220222122
112a6312224299a0
12b56b426883436
13450668b365cc0
141b3582088bab0
15bc407b850eec
hex5cf8771fdeaa

102222220222122 has 256 divisors, whose sum is σ = 286539356307456. Its totient is φ = 23455495296000.

The previous prime is 102222220222097. The next prime is 102222220222123. The reversal of 102222220222122 is 221222022222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222220222092 and 102222220222101.

It is not an unprimeable number, because it can be changed into a prime (102222220222123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9785047 + ... + 17326037.

It is an arithmetic number, because the mean of its divisors is an integer number (1119294360576).

Almost surely, 2102222220222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222220222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143269678153728).

102222220222122 is an abundant number, since it is smaller than the sum of its proper divisors (184317136085334).

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

102222220222122 is a wasteful number, since it uses less digits than its factorization.

102222220222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541125.

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

Adding to 102222220222122 its reverse (221222022222201), we get a palindrome (323444242444323).

The spelling of 102222220222122 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty-two".