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313130160 = 24325762129
BaseRepresentation
bin10010101010011…
…111110010110000
3210211012122211100
4102222133302300
51120130131120
651023244400
710521363630
oct2252376260
9724178740
10313130160
11150832362
1288a49700
134cb47325
142d8306c0
151c754490
hex12a9fcb0

313130160 has 120 divisors (see below), whose sum is σ = 1201842720. Its totient is φ = 71571456.

The previous prime is 313130159. The next prime is 313130189. The reversal of 313130160 is 61031313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26025 + ... + 36104.

It is an arithmetic number, because the mean of its divisors is an integer number (10015356).

Almost surely, 2313130160 is an apocalyptic number.

313130160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313130160 is an abundant number, since it is smaller than the sum of its proper divisors (888712560).

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

313130160 is a wasteful number, since it uses less digits than its factorization.

313130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62155 (or 62146 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 313130160 is about 17695.4841696971. The cubic root of 313130160 is about 679.0602358639.

Adding to 313130160 its reverse (61031313), we get a palindrome (374161473).

The spelling of 313130160 in words is "three hundred thirteen million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 62129 124258 186387 248516 310645 372774 434903 497032 559161 621290 745548 869806 931935 994064 1118322 1242580 1304709 1491096 1739612 1863870 2174515 2236644 2485160 2609418 2795805 2982192 3479224 3727740 3914127 4349030 4473288 4970320 5218836 5591610 6523545 6958448 7455480 7828254 8698060 8946576 10437672 11183220 13047090 14910960 15656508 17396120 19570635 20875344 22366440 26094180 31313016 34792240 39141270 44732880 52188360 62626032 78282540 104376720 156565080 313130160