Search a number
-
+
313114400022 = 23791139476173
BaseRepresentation
bin1001000111001110001…
…00101001010100010110
31002221012110222120112110
410203213010221110112
520112224241300042
6355502012131450
731423160325624
oct4434704512426
91087173876473
10313114400022
11110877a09126
1250825466b86
13236acb16618
1411224b6a514
158228bac09c
hex48e7129516

313114400022 has 64 divisors (see below), whose sum is σ = 640547066880. Its totient is φ = 102013976064.

The previous prime is 313114400021. The next prime is 313114400029. The reversal of 313114400022 is 220004411313.

It is a super-2 number, since 2×3131144000222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313114400021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50720128 + ... + 50726300.

It is an arithmetic number, because the mean of its divisors is an integer number (10008547920).

Almost surely, 2313114400022 is an apocalyptic number.

313114400022 is an abundant number, since it is smaller than the sum of its proper divisors (327432666858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313114400022 is a wasteful number, since it uses less digits than its factorization.

313114400022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 313114400022 its reverse (220004411313), we get a palindrome (533118811335).

The spelling of 313114400022 in words is "three hundred thirteen billion, one hundred fourteen million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 79 113 158 226 237 339 474 678 947 1894 2841 5682 6173 8927 12346 17854 18519 26781 37038 53562 74813 107011 149626 214022 224439 321033 448878 487667 642066 697549 975334 1395098 1463001 2092647 2926002 4185294 5845831 8453869 11691662 16907738 17537493 25361607 35074986 50723214 55106371 110212742 165319113 330638226 461820649 660578903 923641298 1321157806 1385461947 1981736709 2770923894 3963473418 52185733337 104371466674 156557200011 313114400022