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105101402501 is a prime number
BaseRepresentation
bin110000111100010001…
…0000010000110000101
3101001021200211102220002
41201320202002012011
53210221424340001
6120141035451045
710410340116044
oct1417042020605
9331250742802
10105101402501
1140634002327
12184522b6a85
139bac6832c4
14513079a55b
152b0202146b
hex1878882185

105101402501 has 2 divisors, whose sum is σ = 105101402502. Its totient is φ = 105101402500.

The previous prime is 105101402479. The next prime is 105101402521. The reversal of 105101402501 is 105204101501.

It is an a-pointer prime, because the next prime (105101402521) can be obtained adding 105101402501 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85950994276 + 19150408225 = 293174^2 + 138385^2 .

It is an emirp because it is prime and its reverse (105204101501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105101402501 is a prime.

It is a super-2 number, since 2×1051014025012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105101402521) 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, 52550701250 + 52550701251.

It is an arithmetic number, because the mean of its divisors is an integer number (52550701251).

Almost surely, 2105101402501 is an apocalyptic number.

It is an amenable number.

105101402501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101402501 is an equidigital number, since it uses as much as digits as its factorization.

105101402501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 105101402501 in words is "one hundred five billion, one hundred one million, four hundred two thousand, five hundred one".