Search a number
-
+
31121212113 = 32101293116849
BaseRepresentation
bin11100111110111110…
…000000001011010001
32222022220001101020200
4130332332000023101
51002214012241423
622144043325413
72151132636555
oct347676001321
988286041220
1031121212113
1112220127312
126046520869
132c1c761b14
141713309865
15c2229ed43
hex73ef802d1

31121212113 has 24 divisors (see below), whose sum is σ = 45553271400. Its totient is φ = 20471769600.

The previous prime is 31121212033. The next prime is 31121212123.

31121212113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 26015109264 + 5106102849 = 161292^2 + 71457^2 .

It is not a de Polignac number, because 31121212113 - 213 = 31121203921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31121212123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207913 + ... + 324761.

It is an arithmetic number, because the mean of its divisors is an integer number (1898052975).

Almost surely, 231121212113 is an apocalyptic number.

It is an amenable number.

31121212113 is a deficient number, since it is larger than the sum of its proper divisors (14432059287).

31121212113 is a wasteful number, since it uses less digits than its factorization.

31121212113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117249 (or 117246 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The spelling of 31121212113 in words is "thirty-one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 101 293 303 879 909 2637 29593 88779 116849 266337 350547 1051641 11801749 34236757 35405247 102710271 106215741 308130813 3457912457 10373737371 31121212113