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102212211192 = 23371383975813
BaseRepresentation
bin101111100110001010…
…0101001000111111000
3100202211100022022111120
41133030110221013320
53133312311224232
6114542230225240
710245625313550
oct1371424510770
9322740268446
10102212211192
113a391146113
12179867b5220
13983bc28250
144d38b9a160
1529d356992c
hex17cc5291f8

102212211192 has 256 divisors, whose sum is σ = 321624898560. Its totient is φ = 26353188864.

The previous prime is 102212211089. The next prime is 102212211217. The reversal of 102212211192 is 291112212201.

102212211192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022122111922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17580478 + ... + 17586290.

It is an arithmetic number, because the mean of its divisors is an integer number (1256347260).

Almost surely, 2102212211192 is an apocalyptic number.

102212211192 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 102212211192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160812449280).

102212211192 is an abundant number, since it is smaller than the sum of its proper divisors (219412687368).

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

102212211192 is a wasteful number, since it uses less digits than its factorization.

102212211192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 102212211192 its reverse (291112212201), we get a palindrome (393324423393).

The spelling of 102212211192 in words is "one hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred ninety-two".