Search a number
-
+
2681557131 = 311311926053
BaseRepresentation
bin1001111111010101…
…0101000010001011
320220212211012211210
42133311111002023
520442434312011
61122031024203
7123310600551
oct23765250213
96825735753
102681557131
11115673a620
1262a06b063
13339729cc6
141b61d1bd1
1510a6406a6
hex9fd5508b

2681557131 has 16 divisors (see below), whose sum is σ = 3901847040. Its totient is φ = 1624602720.

The previous prime is 2681557127. The next prime is 2681557141. The reversal of 2681557131 is 1317551862.

It is not a de Polignac number, because 2681557131 - 22 = 2681557127 is a prime.

It is a super-3 number, since 3×26815571313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2681557131.

It is not an unprimeable number, because it can be changed into a prime (2681557141) 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, 89901 + ... + 115953.

It is an arithmetic number, because the mean of its divisors is an integer number (243865440).

Almost surely, 22681557131 is an apocalyptic number.

2681557131 is a deficient number, since it is larger than the sum of its proper divisors (1220289909).

2681557131 is a wasteful number, since it uses less digits than its factorization.

2681557131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29186.

The product of its digits is 50400, while the sum is 39.

The square root of 2681557131 is about 51783.7535429791. The cubic root of 2681557131 is about 1389.2988771258.

The spelling of 2681557131 in words is "two billion, six hundred eighty-one million, five hundred fifty-seven thousand, one hundred thirty-one".

Divisors: 1 3 11 33 3119 9357 26053 34309 78159 102927 286583 859749 81259307 243777921 893852377 2681557131