Search a number
-
+
2124997317 = 32534454921
BaseRepresentation
bin111111010101000…
…1110001011000101
312111002120001022100
41332222032023011
513322444403232
6550510022313
7103442115312
oct17652161305
95432501270
102124997317
119a0561a33
124b37a7999
1327b330a81
14162315d09
15c6853c7c
hex7ea8e2c5

2124997317 has 12 divisors (see below), whose sum is σ = 3127355244. Its totient is φ = 1389935040.

The previous prime is 2124997313. The next prime is 2124997321. The reversal of 2124997317 is 7137994212.

2124997317 is a `hidden beast` number, since 2 + 1 + 249 + 97 + 317 = 666.

It is an interprime number because it is at equal distance from previous prime (2124997313) and next prime (2124997321).

It can be written as a sum of positive squares in 2 ways, for example, as 951660801 + 1173336516 = 30849^2 + 34254^2 .

It is not a de Polignac number, because 2124997317 - 22 = 2124997313 is a prime.

It is a super-2 number, since 2×21249973172 = 9031227194514396978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124997313) 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 11 ways as a sum of consecutive naturals, for example, 2226984 + ... + 2227937.

It is an arithmetic number, because the mean of its divisors is an integer number (260612937).

Almost surely, 22124997317 is an apocalyptic number.

It is an amenable number.

2124997317 is a deficient number, since it is larger than the sum of its proper divisors (1002357927).

2124997317 is a wasteful number, since it uses less digits than its factorization.

2124997317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454980 (or 4454977 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 2124997317 is about 46097.6931852343. The cubic root of 2124997317 is about 1285.6402542506.

The spelling of 2124997317 in words is "two billion, one hundred twenty-four million, nine hundred ninety-seven thousand, three hundred seventeen".

Divisors: 1 3 9 53 159 477 4454921 13364763 40094289 236110813 708332439 2124997317