Search a number
-
+
2531090971 = 292292571483
BaseRepresentation
bin1001011011011101…
…0110001000011011
320112101200202002001
42112313112020123
520140424402341
61055054021431
7116502626653
oct22667261033
96471622061
102531090971
11108980a122
125a77a7877
133144c6b86
141a0225363
15ec31cd31
hex96dd621b

2531090971 has 16 divisors (see below), whose sum is σ = 2641816800. Its totient is φ = 2422038528.

The previous prime is 2531090941. The next prime is 2531091001. The reversal of 2531090971 is 1790901352.

It is an interprime number because it is at equal distance from previous prime (2531090941) and next prime (2531091001).

It is a cyclic number.

It is not a de Polignac number, because 2531090971 - 29 = 2531090459 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2531090971.

It is not an unprimeable number, because it can be changed into a prime (2531090941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705996 + ... + 1707478.

It is an arithmetic number, because the mean of its divisors is an integer number (165113550).

Almost surely, 22531090971 is an apocalyptic number.

2531090971 is a deficient number, since it is larger than the sum of its proper divisors (110725829).

2531090971 is a wasteful number, since it uses less digits than its factorization.

2531090971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 2531090971 is about 50309.9490260127. The cubic root of 2531090971 is about 1362.8119032984.

It can be divided in two parts, 25310 and 90971, that added together give a square (116281 = 3412).

The spelling of 2531090971 in words is "two billion, five hundred thirty-one million, ninety thousand, nine hundred seventy-one".

Divisors: 1 29 229 257 1483 6641 7453 43007 58853 339607 381131 1706737 9848603 11052799 87278999 2531090971