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112200102193 is a prime number
BaseRepresentation
bin110100001111110100…
…1011011000100110001
3101201121102021202012111
41220133221123010301
53314241211232233
6123313301325321
711051265063364
oct1503751330461
9351542252174
10112200102193
114364703a493
12198b3706841
13a771265c1a
14560548a0db
152dba334acd
hex1a1fa5b131

112200102193 has 2 divisors, whose sum is σ = 112200102194. Its totient is φ = 112200102192.

The previous prime is 112200102169. The next prime is 112200102239. The reversal of 112200102193 is 391201002211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73510392384 + 38689709809 = 271128^2 + 196697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112200102193 is a prime.

It is not a weakly prime, because it can be changed into another prime (112200102163) 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 as a sum of consecutive naturals, namely, 56100051096 + 56100051097.

It is an arithmetic number, because the mean of its divisors is an integer number (56100051097).

Almost surely, 2112200102193 is an apocalyptic number.

It is an amenable number.

112200102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

112200102193 is an equidigital number, since it uses as much as digits as its factorization.

112200102193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 112200102193 in words is "one hundred twelve billion, two hundred million, one hundred two thousand, one hundred ninety-three".