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2465406101 is a prime number
BaseRepresentation
bin1001001011110011…
…0001110010010101
320100211002121101002
42102330301302111
520022120443401
61044350113045
7115044414614
oct22274616225
96324077332
102465406101
111055726104
125897ab785
13303a094a2
1419560787b
15e6695a6b
hex92f31c95

2465406101 has 2 divisors, whose sum is σ = 2465406102. Its totient is φ = 2465406100.

The previous prime is 2465406077. The next prime is 2465406109. The reversal of 2465406101 is 1016045642.

2465406101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1860196900 + 605209201 = 43130^2 + 24601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2465406101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2465406109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1232703050 + 1232703051.

It is an arithmetic number, because the mean of its divisors is an integer number (1232703051).

Almost surely, 22465406101 is an apocalyptic number.

It is an amenable number.

2465406101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2465406101 is an equidigital number, since it uses as much as digits as its factorization.

2465406101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2465406101 is about 49652.8559198764. The cubic root of 2465406101 is about 1350.9195565809.

The spelling of 2465406101 in words is "two billion, four hundred sixty-five million, four hundred six thousand, one hundred one".