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112102211221011 = 32111766608562817
BaseRepresentation
bin11001011111010011010100…
…011110100111011000010011
3112200220212101211211122022100
4121133103110132213120103
5104143140312033033021
61034231013410011443
732420055204205614
oct3137232436473023
9480825354748270
10112102211221011
11327a030a810160
12106a61ab876b83
134a722684a515b
141d97ac13adc0b
15ce6080b11626
hex65f4d47a7613

112102211221011 has 24 divisors (see below), whose sum is σ = 187036844392944. Its totient is φ = 63944220303360.

The previous prime is 112102211220907. The next prime is 112102211221061. The reversal of 112102211221011 is 110122112201211.

It is a happy number.

112102211221011 is a `hidden beast` number, since 1 + 1 + 210 + 221 + 1 + 221 + 0 + 11 = 666.

It is not a de Polignac number, because 112102211221011 - 213 = 112102211212819 is a prime.

It is a super-3 number, since 3×1121022112210113 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112102211221061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33304279726 + ... + 33304283091.

It is an arithmetic number, because the mean of its divisors is an integer number (7793201849706).

Almost surely, 2112102211221011 is an apocalyptic number.

112102211221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112102211221011 is a deficient number, since it is larger than the sum of its proper divisors (74934633171933).

112102211221011 is a wasteful number, since it uses less digits than its factorization.

112102211221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66608562851 (or 66608562848 counting only the distinct ones).

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

Adding to 112102211221011 its reverse (110122112201211), we get a palindrome (222224323422222).

The spelling of 112102211221011 in words is "one hundred twelve trillion, one hundred two billion, two hundred eleven million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 66608562817 199825688451 599477065353 732694190987 1132345567889 2198082572961 3397036703667 6594247718883 10191110111001 12455801246779 37367403740337 112102211221011