Search a number
-
+
312323021331 = 32313134552829
BaseRepresentation
bin1001000101101111110…
…01110001101000010011
31002212011022212101001120
410202313321301220103
520104114143140311
6355251302133323
731364440610256
oct4426771615023
91085138771046
10312323021331
11110501226652
1250644421243
13235b4b918c9
141118ba0709d
1581ce489706
hex48b7e71a13

312323021331 has 16 divisors (see below), whose sum is σ = 437853461760. Its totient is φ = 197642176160.

The previous prime is 312323021243. The next prime is 312323021333. The reversal of 312323021331 is 133120323213.

312323021331 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 312323021331 - 27 = 312323021203 is a prime.

It is a super-2 number, since 2×3123230213312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312323021333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17267376 + ... + 17285453.

It is an arithmetic number, because the mean of its divisors is an integer number (27365841360).

Almost surely, 2312323021331 is an apocalyptic number.

312323021331 is a deficient number, since it is larger than the sum of its proper divisors (125530440429).

312323021331 is a wasteful number, since it uses less digits than its factorization.

312323021331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34552986.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312323021331 its reverse (133120323213), we get a palindrome (445443344544).

The spelling of 312323021331 in words is "three hundred twelve billion, three hundred twenty-three million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 23 69 131 393 3013 9039 34552829 103658487 794715067 2384145201 4526420599 13579261797 104107673777 312323021331