Search a number
-
+
31123341001 = 192731181017
BaseRepresentation
bin11100111111000110…
…000111111011001001
32222100001001112112101
4130333012013323021
51002220033403001
622144201113401
72151160014334
oct347706077311
988301045471
1031123341001
1112221350825
126047188861
132c20028b0c
14171370161b
15c22570a01
hex73f187ec9

31123341001 has 12 divisors (see below), whose sum is σ = 33297621492. Its totient is φ = 29081337984.

The previous prime is 31123340981. The next prime is 31123341013. The reversal of 31123341001 is 10014332113.

It can be written as a sum of positive squares in 2 ways, for example, as 21626643600 + 9496697401 = 147060^2 + 97451^2 .

It is not a de Polignac number, because 31123341001 - 233 = 22533406409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31123341001.

It is not an unprimeable number, because it can be changed into a prime (31123341071) 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, 564156 + ... + 616861.

It is an arithmetic number, because the mean of its divisors is an integer number (2774801791).

Almost surely, 231123341001 is an apocalyptic number.

It is an amenable number.

31123341001 is a deficient number, since it is larger than the sum of its proper divisors (2174280491).

31123341001 is a wasteful number, since it uses less digits than its factorization.

31123341001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181128 (or 1181109 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31123341001 its reverse (10014332113), we get a palindrome (41137673114).

The spelling of 31123341001 in words is "thirty-one billion, one hundred twenty-three million, three hundred forty-one thousand, one".

Divisors: 1 19 73 361 1387 26353 1181017 22439323 86214241 426347137 1638070579 31123341001