Search a number
-
+
313211140 = 2251143113293
BaseRepresentation
bin10010101010110…
…011100100000100
3210211100202220121
4102222303210010
51120140224030
651025111324
710522152004
oct2252634404
9724322817
10313211140
11150888190
1288a88544
134cb75148
142d852004
151c76d47a
hex12ab3904

313211140 has 96 divisors (see below), whose sum is σ = 743250816. Its totient is φ = 109885440.

The previous prime is 313211069. The next prime is 313211147. The reversal of 313211140 is 41112313.

It is not an unprimeable number, because it can be changed into a prime (313211147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068834 + ... + 1069126.

It is an arithmetic number, because the mean of its divisors is an integer number (7742196).

Almost surely, 2313211140 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 313211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371625408).

313211140 is an abundant number, since it is smaller than the sum of its proper divisors (430039676).

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

313211140 is a wasteful number, since it uses less digits than its factorization.

313211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 313211140 is about 17697.7721761808. The cubic root of 313211140 is about 679.1187690930.

Adding to 313211140 its reverse (41112313), we get a palindrome (354323453).

The spelling of 313211140 in words is "three hundred thirteen million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 113 172 215 220 226 293 430 452 473 565 586 860 946 1130 1172 1243 1465 1892 2260 2365 2486 2930 3223 4730 4859 4972 5860 6215 6446 9460 9718 12430 12599 12892 16115 19436 24295 24860 25198 32230 33109 48590 50396 53449 62995 64460 66218 97180 106898 125990 132436 138589 165545 213796 251980 267245 277178 331090 364199 534490 554356 662180 692945 728398 1068980 1385890 1423687 1456796 1820995 2771780 2847374 3641990 5694748 7118435 7283980 14236870 15660557 28473740 31321114 62642228 78302785 156605570 313211140