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45963072101 is a prime number
BaseRepresentation
bin101010110011100111…
…001101001001100101
311101122020121222121202
4222303213031021211
51223113021301401
633040512052245
73215002444442
oct526347151145
9141566558552
1045963072101
1118546a57401
128aa8b34085
1344465bbbab
1423205269c9
1512e027806b
hexab39cd265

45963072101 has 2 divisors, whose sum is σ = 45963072102. Its totient is φ = 45963072100.

The previous prime is 45963072073. The next prime is 45963072107. The reversal of 45963072101 is 10127036954.

It is a Cunningham number, because it is equal to 2143902+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45963072100 + 1 = 214390^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 45963072101 - 218 = 45962809957 is a prime.

It is a super-2 number, since 2×459630721012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45963072107) 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, 22981536050 + 22981536051.

It is an arithmetic number, because the mean of its divisors is an integer number (22981536051).

Almost surely, 245963072101 is an apocalyptic number.

It is an amenable number.

45963072101 is a deficient number, since it is larger than the sum of its proper divisors (1).

45963072101 is an equidigital number, since it uses as much as digits as its factorization.

45963072101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 45963072101 in words is "forty-five billion, nine hundred sixty-three million, seventy-two thousand, one hundred one".