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313103120232 = 23371919979787
BaseRepresentation
bin1001000111001100110…
…01100111011101101000
31002221011200202111120110
410203212121213131220
520112213344321412
6355500530254320
731422662416140
oct4434631473550
91087150674513
10313103120232
11110871604491
12508217273a0
13236aa6973a6
1411223471920
158227bced3c
hex48e6667768

313103120232 has 128 divisors (see below), whose sum is σ = 900257955840. Its totient is φ = 88891326720.

The previous prime is 313103120221. The next prime is 313103120263. The reversal of 313103120232 is 232021301313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 313103120199 and 313103120208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31986843 + ... + 31996629.

It is an arithmetic number, because the mean of its divisors is an integer number (7033265280).

Almost surely, 2313103120232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313103120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450128977920).

313103120232 is an abundant number, since it is smaller than the sum of its proper divisors (587154835608).

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

313103120232 is a wasteful number, since it uses less digits than its factorization.

313103120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10991 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313103120232 its reverse (232021301313), we get a palindrome (545124421545).

The spelling of 313103120232 in words is "three hundred thirteen billion, one hundred three million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 382 573 764 997 1146 1337 1528 1994 2292 2674 2991 3988 4011 4584 5348 5982 6979 7976 8022 9787 10696 11964 13958 16044 19574 20937 23928 27916 29361 32088 39148 41874 55832 58722 68509 78296 83748 117444 137018 167496 190427 205527 234888 274036 380854 411054 548072 571281 761708 822108 1142562 1332989 1523416 1644216 1869317 2285124 2665978 3738634 3998967 4570248 5331956 5607951 7477268 7997934 9757639 10663912 11215902 13085219 14954536 15995868 19515278 22431804 26170438 29272917 31991736 39030556 39255657 44863608 52340876 58545834 68303473 78061112 78511314 104681752 117091668 136606946 157022628 204910419 234183336 273213892 314045256 409820838 546427784 819641676 1639283352 1863709049 3727418098 5591127147 7454836196 11182254294 13045963343 14909672392 22364508588 26091926686 39137890029 44729017176 52183853372 78275780058 104367706744 156551560116 313103120232