Search a number
-
+
2972409101 is a prime number
BaseRepresentation
bin1011000100101011…
…0101110100001101
321200011010000201222
42301022311310031
522041414042401
61210541013125
7133442026514
oct26112656415
97604100658
102972409101
111295935a52
126ab5541a5
13384a73c6c
14202aa367b
15125e43c1b
hexb12b5d0d

2972409101 has 2 divisors, whose sum is σ = 2972409102. Its totient is φ = 2972409100.

The previous prime is 2972409091. The next prime is 2972409131. The reversal of 2972409101 is 1019042792.

2972409101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2608553476 + 363855625 = 51074^2 + 19075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2972409101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2972409131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1486204550 + 1486204551.

It is an arithmetic number, because the mean of its divisors is an integer number (1486204551).

Almost surely, 22972409101 is an apocalyptic number.

It is an amenable number.

2972409101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2972409101 is an equidigital number, since it uses as much as digits as its factorization.

2972409101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 2972409101 is about 54519.8046676618. The cubic root of 2972409101 is about 1437.8145057638.

The spelling of 2972409101 in words is "two billion, nine hundred seventy-two million, four hundred nine thousand, one hundred one".