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102222010102212 = 2233711135091857671
BaseRepresentation
bin10111001111100001101010…
…100110011011000111000100
3111101221022212122100002212000
4113033201222212123013010
5101344301134041232322
61001224050530425300
730350203463316450
oct2717415246330704
9441838778302760
10102222010102212
112a631124864780
12b56b388432230
1345066569776b0
141b358009d3660
15bc40681983ac
hex5cf86a99b1c4

102222010102212 has 384 divisors, whose sum is σ = 356530354790400. Its totient is φ = 24460609651200.

The previous prime is 102222010102211. The next prime is 102222010102237. The reversal of 102222010102212 is 212201010222201.

It is a happy number.

102222010102212 is a `hidden beast` number, since 10 + 222 + 201 + 0 + 10 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102222010102211) 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, 54098137 + ... + 55955807.

It is an arithmetic number, because the mean of its divisors is an integer number (928464465600).

Almost surely, 2102222010102212 is an apocalyptic number.

102222010102212 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 102222010102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178265177395200).

102222010102212 is an abundant number, since it is smaller than the sum of its proper divisors (254308344688188).

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

102222010102212 is a wasteful number, since it uses less digits than its factorization.

102222010102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858224 (or 1858216 counting only the distinct ones).

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

Adding to 102222010102212 its reverse (212201010222201), we get a palindrome (314423020324413).

It can be divided in two parts, 10 and 2222010102212, that added together give a palindrome (2222010102222).

The spelling of 102222010102212 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, one hundred two thousand, two hundred twelve".