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2111012222193 = 337109310219009
BaseRepresentation
bin11110101110000010001…
…000100011010011110001
321110210220001221001011000
4132232002020203103301
5234041323112102233
64253441410112213
7305341564552440
oct36560210432361
97423801831130
102111012222193
11744303402466
122a116587b669
131240b568a604
1474260282d57
1539da3dbcd13
hex1eb822234f1

2111012222193 has 32 divisors (see below), whose sum is σ = 3577471020800. Its totient is φ = 1205188927488.

The previous prime is 2111012222149. The next prime is 2111012222213. The reversal of 2111012222193 is 3912222101112.

2111012222193 is a `hidden beast` number, since 211 + 10 + 1 + 222 + 219 + 3 = 666.

It is not a de Polignac number, because 2111012222193 - 28 = 2111012221937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111012223193) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4902928 + ... + 5316081.

It is an arithmetic number, because the mean of its divisors is an integer number (111795969400).

Almost surely, 22111012222193 is an apocalyptic number.

It is an amenable number.

2111012222193 is a deficient number, since it is larger than the sum of its proper divisors (1466458798607).

2111012222193 is a wasteful number, since it uses less digits than its factorization.

2111012222193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220118 (or 10220112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 2111012222193 in words is "two trillion, one hundred eleven billion, twelve million, two hundred twenty-two thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 189 1093 3279 7651 9837 22953 29511 68859 206577 10219009 30657027 71533063 91971081 214599189 275913243 643797567 1931392701 11169376837 33508130511 78185637859 100524391533 234556913577 301573174599 703670740731 2111012222193