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112102211111022 = 232115931752357881
BaseRepresentation
bin11001011111010011010100…
…011110001100100001101110
3112200220212101211122001102200
4121133103110132030201232
5104143140312021023042
61034231013403402330
732420055203240136
oct3137232436144156
9480825354561380
10112102211111022
11327a030a745560
12106a61ab8233a6
134a72268467082
141d97ac1381ac6
15ce6080addc4c
hex65f4d478c86e

112102211111022 has 192 divisors, whose sum is σ = 270831415345920. Its totient is φ = 33225027724800.

The previous prime is 112102211110957. The next prime is 112102211111027. The reversal of 112102211111022 is 220111112201211.

It is a happy number.

It is a super-3 number, since 3×1121022111110223 (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112102211110986 and 112102211111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102211111027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1936741522 + ... + 1936799402.

It is an arithmetic number, because the mean of its divisors is an integer number (1410580288260).

Almost surely, 2112102211111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102211111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135415707672960).

112102211111022 is an abundant number, since it is smaller than the sum of its proper divisors (158729204234898).

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

112102211111022 is a wasteful number, since it uses less digits than its factorization.

112102211111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58799 (or 58796 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112102211111022 its reverse (220111112201211), we get a palindrome (332213323312233).

The spelling of 112102211111022 in words is "one hundred twelve trillion, one hundred two billion, two hundred eleven million, one hundred eleven thousand, twenty-two".