Search a number
-
+
2131253313 = 371918672861
BaseRepresentation
bin111111100001000…
…0101100001000001
312111112022212220220
41333002011201001
513331100101223
6551252053253
7103546232340
oct17702054101
95445285826
102131253313
119a4045182
124b5904229
1327c711447
141630a3b57
15c718c6e3
hex7f085841

2131253313 has 32 divisors (see below), whose sum is σ = 3421578240. Its totient is φ = 1152740160.

The previous prime is 2131253309. The next prime is 2131253339. The reversal of 2131253313 is 3133521312.

It is not a de Polignac number, because 2131253313 - 22 = 2131253309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131253353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743503 + ... + 746363.

It is an arithmetic number, because the mean of its divisors is an integer number (106924320).

Almost surely, 22131253313 is an apocalyptic number.

It is an amenable number.

2131253313 is a deficient number, since it is larger than the sum of its proper divisors (1290324927).

2131253313 is a wasteful number, since it uses less digits than its factorization.

2131253313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757.

The product of its digits is 1620, while the sum is 24.

The square root of 2131253313 is about 46165.4991633363. The cubic root of 2131253313 is about 1286.9006606015.

Adding to 2131253313 its reverse (3133521312), we get a palindrome (5264774625).

The spelling of 2131253313 in words is "two billion, one hundred thirty-one million, two hundred fifty-three thousand, three hundred thirteen".

Divisors: 1 3 7 19 21 57 133 399 1867 2861 5601 8583 13069 20027 35473 39207 54359 60081 106419 163077 248311 380513 744933 1141539 5341487 16024461 37390409 101488253 112171227 304464759 710417771 2131253313