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112211201957 is a prime number
BaseRepresentation
bin110100010000001001…
…1110000111110100101
3101201122012011200012212
41220200103300332211
53314302031430312
6123314335253205
711051461323251
oct1504023607645
9351565150185
10112211201957
1143652330948
12198b737a205
13a77365122a
145606b39261
152dbb2c8822
hex1a204f0fa5

112211201957 has 2 divisors, whose sum is σ = 112211201958. Its totient is φ = 112211201956.

The previous prime is 112211201951. The next prime is 112211201959. The reversal of 112211201957 is 759102112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111642188641 + 569013316 = 334129^2 + 23854^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211201957 - 24 = 112211201941 is a prime.

Together with 112211201959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112211201951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56105600978 + 56105600979.

It is an arithmetic number, because the mean of its divisors is an integer number (56105600979).

Almost surely, 2112211201957 is an apocalyptic number.

It is an amenable number.

112211201957 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211201957 is an equidigital number, since it uses as much as digits as its factorization.

112211201957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 32.

The spelling of 112211201957 in words is "one hundred twelve billion, two hundred eleven million, two hundred one thousand, nine hundred fifty-seven".