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102222012011232 = 25319416553208591
BaseRepresentation
bin10111001111100001101010…
…101101101101001011100000
3111101221022212202221002112110
4113033201222231231023200
5101344301140033324412
61001224051035355320
730350203515460221
oct2717415255551340
9441838782832473
10102222012011232
112a631125948a83
12b56b388bb2b40
1345066571955a9
141b35800d6d248
15bc4068423d3c
hex5cf86ab6d2e0

102222012011232 has 192 divisors, whose sum is σ = 289390261386240. Its totient is φ = 31488345907200.

The previous prime is 102222012011221. The next prime is 102222012011233. The reversal of 102222012011232 is 232110210222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222012011199 and 102222012011208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222012011233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489955257 + ... + 490163847.

It is an arithmetic number, because the mean of its divisors is an integer number (1507240944720).

Almost surely, 2102222012011232 is an apocalyptic number.

102222012011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222012011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144695130693120).

102222012011232 is an abundant number, since it is smaller than the sum of its proper divisors (187168249375008).

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

102222012011232 is a wasteful number, since it uses less digits than its factorization.

102222012011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215217 (or 215209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102222012011232 its reverse (232110210222201), we get a palindrome (334332222233433).

The spelling of 102222012011232 in words is "one hundred two trillion, two hundred twenty-two billion, twelve million, eleven thousand, two hundred thirty-two".