Search a number
-
+
313130201200 = 245217421109379
BaseRepresentation
bin1001000111010000000…
…00111011000001110000
31002221020120201100200021
410203220000323001300
520112242312414300
6355503334533224
731423441536325
oct4435000730160
91087216640607
10313130201200
11110885920853
125082a807214
13236b318982b
1411226cc0b4c
15822a27dd1a
hex48e803b070

313130201200 has 120 divisors (see below), whose sum is σ = 798447311280. Its totient is φ = 117603225600.

The previous prime is 313130201191. The next prime is 313130201213. The reversal of 313130201200 is 2102031313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 2808111 + ... + 2917489.

It is an arithmetic number, because the mean of its divisors is an integer number (6653727594).

Almost surely, 2313130201200 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 313130201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399223655640).

313130201200 is an abundant number, since it is smaller than the sum of its proper divisors (485317110080).

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

313130201200 is a wasteful number, since it uses less digits than its factorization.

313130201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109835 (or 109824 counting only the distinct ones).

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

Adding to 313130201200 its reverse (2102031313), we get a palindrome (315232232513).

The spelling of 313130201200 in words is "three hundred thirteen billion, one hundred thirty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 421 425 680 842 850 1360 1684 1700 2105 3368 3400 4210 6736 6800 7157 8420 10525 14314 16840 21050 28628 33680 35785 42100 57256 71570 84200 109379 114512 143140 168400 178925 218758 286280 357850 437516 546895 572560 715700 875032 1093790 1431400 1750064 1859443 2187580 2734475 2862800 3718886 4375160 5468950 7437772 8750320 9297215 10937900 14875544 18594430 21875800 29751088 37188860 43751600 46048559 46486075 74377720 92097118 92972150 148755440 184194236 185944300 230242795 368388472 371888600 460485590 736776944 743777200 782825503 920971180 1151213975 1565651006 1841942360 2302427950 3131302012 3683884720 3914127515 4604855900 6262604024 7828255030 9209711800 12525208048 15656510060 18419423600 19570637575 31313020120 39141275150 62626040240 78282550300 156565100600 313130201200