Search a number
-
+
3131230023121 = 53269219627553
BaseRepresentation
bin101101100100001011110…
…110100110110111010001
3102002100020210201011120211
4231210023312212313101
5402300224341214441
610354244530204121
7442136541022504
oct55441366466721
912070223634524
103131230023121
11aa7a46798442
12426a2a723641
131993734ab565
14ab7a38a913b
15566b5573a81
hex2d90bda6dd1

3131230023121 has 8 divisors (see below), whose sum is σ = 3202169737320. Its totient is φ = 3060729564672.

The previous prime is 3131230023079. The next prime is 3131230023127. The reversal of 3131230023121 is 1213200321313.

It can be written as a sum of positive squares in 4 ways, for example, as 47834501521 + 3083395521600 = 218711^2 + 1755960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3131230023121 - 215 = 3131229990353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3131230023092 and 3131230023101.

It is not an unprimeable number, because it can be changed into a prime (3131230023127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109799520 + ... + 109828033.

It is an arithmetic number, because the mean of its divisors is an integer number (400271217165).

Almost surely, 23131230023121 is an apocalyptic number.

It is an amenable number.

3131230023121 is a deficient number, since it is larger than the sum of its proper divisors (70939714199).

3131230023121 is a wasteful number, since it uses less digits than its factorization.

3131230023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219627875.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3131230023121 its reverse (1213200321313), we get a palindrome (4344430344434).

The spelling of 3131230023121 in words is "three trillion, one hundred thirty-one billion, two hundred thirty million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 53 269 14257 219627553 11640260309 59079811757 3131230023121