Search a number
-
+
2131100013 = 37214497279
BaseRepresentation
bin111111100000110…
…0000000101101101
312111112001002122010
41333001200011231
513331030200023
6551244511433
7103545023400
oct17701400555
95445032563
102131100013
119a3a4aa89
124b584b579
1327c689733
14163063d37
15c715c093
hex7f06016d

2131100013 has 12 divisors (see below), whose sum is σ = 3305379840. Its totient is φ = 1217771352.

The previous prime is 2131099969. The next prime is 2131100057. The reversal of 2131100013 is 3100011312.

It is an interprime number because it is at equal distance from previous prime (2131099969) and next prime (2131100057).

It is not a de Polignac number, because 2131100013 - 213 = 2131091821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131100113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7248493 + ... + 7248786.

It is an arithmetic number, because the mean of its divisors is an integer number (275448320).

Almost surely, 22131100013 is an apocalyptic number.

It is an amenable number.

2131100013 is a deficient number, since it is larger than the sum of its proper divisors (1174279827).

2131100013 is a wasteful number, since it uses less digits than its factorization.

2131100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14497296 (or 14497289 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2131100013 is about 46163.8388026819. The cubic root of 2131100013 is about 1286.8698044850.

Adding to 2131100013 its reverse (3100011312), we get a palindrome (5231111325).

The spelling of 2131100013 in words is "two billion, one hundred thirty-one million, one hundred thousand, thirteen".

Divisors: 1 3 7 21 49 147 14497279 43491837 101480953 304442859 710366671 2131100013