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101542145213 is a prime number
BaseRepresentation
bin101111010010001100…
…0100010110010111101
3100201002122110102210002
41132210120202302331
53130424242121323
6114351532324045
710223210664455
oct1364430426275
9321078412702
10101542145213
113a077991683
121781a313625
139763169ac2
144cb3bb4d65
15299480b828
hex17a4622cbd

101542145213 has 2 divisors, whose sum is σ = 101542145214. Its totient is φ = 101542145212.

The previous prime is 101542145209. The next prime is 101542145233. The reversal of 101542145213 is 312541245101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99488514724 + 2053630489 = 315418^2 + 45317^2 .

It is a cyclic number.

It is not a de Polignac number, because 101542145213 - 22 = 101542145209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101542145233) 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, 50771072606 + 50771072607.

It is an arithmetic number, because the mean of its divisors is an integer number (50771072607).

Almost surely, 2101542145213 is an apocalyptic number.

It is an amenable number.

101542145213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101542145213 is an equidigital number, since it uses as much as digits as its factorization.

101542145213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 101542145213 in words is "one hundred one billion, five hundred forty-two million, one hundred forty-five thousand, two hundred thirteen".