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313103140 = 225722329479
BaseRepresentation
bin10010101010011…
…001001100100100
3210211011021202121
4102222121030210
51120123300030
651022515324
710521222100
oct2252311444
9724137677
10313103140
11150814029
1288a35b44
134cb37c3c
142d824900
151c74b47a
hex12a99324

313103140 has 144 divisors (see below), whose sum is σ = 827366400. Its totient is φ = 98934528.

The previous prime is 313103137. The next prime is 313103159. The reversal of 313103140 is 41301313.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653421 + ... + 653899.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2313103140 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 313103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

313103140 is an abundant number, since it is smaller than the sum of its proper divisors (514263260).

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

313103140 is a wasteful number, since it uses less digits than its factorization.

313103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313103140 is about 17694.7206816044. The cubic root of 313103140 is about 679.0407032673.

Adding to 313103140 its reverse (41301313), we get a palindrome (354404453).

The spelling of 313103140 in words is "three hundred thirteen million, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 29 35 46 49 58 70 92 98 115 116 140 145 161 196 203 230 245 290 322 406 460 479 490 580 644 667 805 812 958 980 1015 1127 1334 1421 1610 1916 2030 2254 2395 2668 2842 3220 3335 3353 4060 4508 4669 4790 5635 5684 6670 6706 7105 9338 9580 11017 11270 13340 13412 13891 14210 16765 18676 22034 22540 23345 23471 27782 28420 32683 33530 44068 46690 46942 55085 55564 65366 67060 69455 77119 93380 93884 97237 110170 117355 130732 138910 154238 163415 194474 220340 234710 277820 308476 319493 326830 385595 388948 469420 486185 539833 638986 653660 680659 771190 972370 1079666 1277972 1361318 1542380 1597465 1944740 2159332 2236451 2699165 2722636 3194930 3403295 4472902 5398330 6389860 6806590 8945804 10796660 11182255 13613180 15655157 22364510 31310314 44729020 62620628 78275785 156551570 313103140