Search a number
-
+
313121030200 = 235211677210233
BaseRepresentation
bin1001000111001110111…
…01111100000000111000
31002221012221110102102121
410203213131330000320
520112232440431300
6355502410211024
731423300561606
oct4434735740070
91087187412377
10313121030200
11110880727510
1250827723a74
13236b12c83c4
14112259b4876
15822956b81a
hex48e777c038

313121030200 has 96 divisors (see below), whose sum is σ = 795365678160. Its totient is φ = 113693465600.

The previous prime is 313121030179. The next prime is 313121030203. The reversal of 313121030200 is 2030121313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121030203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384284 + ... + 1594516.

Almost surely, 2313121030200 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 313121030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397682839080).

313121030200 is an abundant number, since it is smaller than the sum of its proper divisors (482244647960).

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

313121030200 is a wasteful number, since it uses less digits than its factorization.

313121030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210937 (or 210928 counting only the distinct ones).

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

Adding to 313121030200 its reverse (2030121313), we get a palindrome (315151151513).

The spelling of 313121030200 in words is "three hundred thirteen billion, one hundred twenty-one million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 677 1100 1354 2200 2708 3385 5416 6770 7447 13540 14894 16925 27080 29788 33850 37235 59576 67700 74470 135400 148940 186175 210233 297880 372350 420466 744700 840932 1051165 1489400 1681864 2102330 2312563 4204660 4625126 5255825 8409320 9250252 10511650 11562815 18500504 21023300 23125630 42046600 46251260 57814075 92502520 115628150 142327741 231256300 284655482 462512600 569310964 711638705 1138621928 1423277410 1565605151 2846554820 3131210302 3558193525 5693109640 6262420604 7116387050 7828025755 12524841208 14232774100 15656051510 28465548200 31312103020 39140128775 62624206040 78280257550 156560515100 313121030200