Search a number
-
+
311431030400039 = 11313372710051867
BaseRepresentation
bin100011011001111101010111…
…1111100000110010000100111
31111211200111220222100021122212
41012303322233330012100213
5311304441222240300124
63022205235033114035
7122412102153630134
oct10663725774062047
91454614828307585
10311431030400039
1190260181741640
122ab19505b5891b
13104a0a87b51554
1456c94b139b58b
152601080c2440e
hex11b3eaff06427

311431030400039 has 16 divisors (see below), whose sum is σ = 351743052051456. Its totient is φ = 273173228092800.

The previous prime is 311431030400023. The next prime is 311431030400047. The reversal of 311431030400039 is 930004030134113.

It is a cyclic number.

It is not a de Polignac number, because 311431030400039 - 24 = 311431030400023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311431030399978 and 311431030400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311431030400089) 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, 1354911017 + ... + 1355140850.

It is an arithmetic number, because the mean of its divisors is an integer number (21983940753216).

Almost surely, 2311431030400039 is an apocalyptic number.

311431030400039 is a deficient number, since it is larger than the sum of its proper divisors (40312021651417).

311431030400039 is a wasteful number, since it uses less digits than its factorization.

311431030400039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710052246.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 311431030400039 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty million, four hundred thousand, thirty-nine".

Divisors: 1 11 31 337 341 3707 10447 114917 2710051867 29810570537 84011607877 913287479179 924127686647 10046162270969 28311911854549 311431030400039