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10202210957 is a prime number
BaseRepresentation
bin10011000000001100…
…10110001010001101
3222100000021000102002
421200012112022031
5131343231222312
64404204442045
7510551235161
oct114006261215
928300230362
1010202210957
114365978104
121b88849325
13c67869c23
146cad5cca1
153eaa024c2
hex26019628d

10202210957 has 2 divisors, whose sum is σ = 10202210958. Its totient is φ = 10202210956.

The previous prime is 10202210927. The next prime is 10202210971. The reversal of 10202210957 is 75901220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9181664041 + 1020546916 = 95821^2 + 31946^2 .

It is an emirp because it is prime and its reverse (75901220201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202210957 - 210 = 10202209933 is a prime.

It is a super-2 number, since 2×102022109572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202210927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101105478 + 5101105479.

It is an arithmetic number, because the mean of its divisors is an integer number (5101105479).

Almost surely, 210202210957 is an apocalyptic number.

It is an amenable number.

10202210957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202210957 is an equidigital number, since it uses as much as digits as its factorization.

10202210957 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 29.

The spelling of 10202210957 in words is "ten billion, two hundred two million, two hundred ten thousand, nine hundred fifty-seven".