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123311312313 = 3794720393041
BaseRepresentation
bin111001011010111101…
…1010100110110111001
3102210021202222201001020
41302311323110312321
54010020143443223
6132352021213053
711623524601110
oct1626573246671
9383252881036
10123311312313
1148329026072
121ba94861189
13b82222a677
145d7b028c77
15331aa401e3
hex1cb5ed4db9

123311312313 has 32 divisors (see below), whose sum is σ = 188255508480. Its totient is φ = 70331543040.

The previous prime is 123311312261. The next prime is 123311312317. The reversal of 123311312313 is 313213113321.

It is not a de Polignac number, because 123311312313 - 214 = 123311295929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123311312317) 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 31 ways as a sum of consecutive naturals, for example, 40548073 + ... + 40551113.

It is an arithmetic number, because the mean of its divisors is an integer number (5882984640).

Almost surely, 2123311312313 is an apocalyptic number.

It is an amenable number.

123311312313 is a deficient number, since it is larger than the sum of its proper divisors (64944196167).

123311312313 is a wasteful number, since it uses less digits than its factorization.

123311312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037.

The product of its digits is 972, while the sum is 24.

Adding to 123311312313 its reverse (313213113321), we get a palindrome (436524425634).

The spelling of 123311312313 in words is "one hundred twenty-three billion, three hundred eleven million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 21 947 2039 2841 3041 6117 6629 9123 14273 19887 21287 42819 63861 1930933 2879827 5792799 6200599 8639481 13516531 18601797 20158789 40549593 43404193 60476367 130212579 5871967253 17615901759 41103770771 123311312313