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313230120 = 23357616113
BaseRepresentation
bin10010101010111…
…000001100101000
3210211101201221120
4102222320030220
51120141330440
651025335240
710522261230
oct2252701450
9724351846
10313230120
111508a0475
1288a97520
134cb80988
142d858cc0
151c773dd0
hex12ab8328

313230120 has 128 divisors (see below), whose sum is σ = 1091715840. Its totient is φ = 70410240.

The previous prime is 313230101. The next prime is 313230161. The reversal of 313230120 is 21032313.

It is a super-2 number, since 2×3132301202 = 196226216150428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313230120.

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, 48184 + ... + 54296.

It is an arithmetic number, because the mean of its divisors is an integer number (8529030).

Almost surely, 2313230120 is an apocalyptic number.

313230120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545857920).

313230120 is an abundant number, since it is smaller than the sum of its proper divisors (778485720).

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

313230120 is a wasteful number, since it uses less digits than its factorization.

313230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313230120 is about 17698.3083937420. The cubic root of 313230120 is about 679.1324865849.

Adding to 313230120 its reverse (21032313), we get a palindrome (334262433).

The spelling of 313230120 in words is "three hundred thirteen million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 840 854 915 1220 1281 1464 1708 1830 2135 2440 2562 3416 3660 4270 5124 6113 6405 7320 8540 10248 12226 12810 17080 18339 24452 25620 30565 36678 42791 48904 51240 61130 73356 85582 91695 122260 128373 146712 171164 183390 213955 244520 256746 342328 366780 372893 427910 513492 641865 733560 745786 855820 1026984 1118679 1283730 1491572 1711640 1864465 2237358 2567460 2610251 2983144 3728930 4474716 5134920 5220502 5593395 7457860 7830753 8949432 10441004 11186790 13051255 14915720 15661506 20882008 22373580 26102510 31323012 39153765 44747160 52205020 62646024 78307530 104410040 156615060 313230120