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2210136023257 is a prime number
BaseRepresentation
bin100000001010010110010…
…111110110000011011001
321211021202011211212102021
4200022112113312003121
5242202324310221012
64411153353134441
7315451142142211
oct40122627660331
97737664755367
102210136023257
1178234a192308
122b840a0ba421
131305517b7c36
1478d84bc1241
153c75622d007
hex202965f60d9

2210136023257 has 2 divisors, whose sum is σ = 2210136023258. Its totient is φ = 2210136023256.

The previous prime is 2210136023177. The next prime is 2210136023279. The reversal of 2210136023257 is 7523206310122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2013629112576 + 196506910681 = 1419024^2 + 443291^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210136023257 - 211 = 2210136021209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210136021257) 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, 1105068011628 + 1105068011629.

It is an arithmetic number, because the mean of its divisors is an integer number (1105068011629).

Almost surely, 22210136023257 is an apocalyptic number.

It is an amenable number.

2210136023257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210136023257 is an equidigital number, since it uses as much as digits as its factorization.

2210136023257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 2210136023257 in words is "two trillion, two hundred ten billion, one hundred thirty-six million, twenty-three thousand, two hundred fifty-seven".