Search a number
-
+
13312143322300 = 22522320172869553
BaseRepresentation
bin1100000110110111100110…
…0100101110110010111100
31202010121222011020020121101
43001231321210232302330
53221101232142303200
644151303023142444
72542525215146044
oct301557144566274
952117864206541
1013312143322300
114272714949849
1215abb95a44a24
13757439550124
1434044dc12724
1518142ce7726a
hexc1b7992ecbc

13312143322300 has 72 divisors (see below), whose sum is σ = 30158277934176. Its totient is φ = 5090814812160.

The previous prime is 13312143322279. The next prime is 13312143322349. The reversal of 13312143322300 is 322334121331.

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, 3204324 + ... + 6073876.

It is an arithmetic number, because the mean of its divisors is an integer number (418864971308).

Almost surely, 213312143322300 is an apocalyptic number.

13312143322300 is a gapful number since it is divisible by the number (10) 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 13312143322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079138967088).

13312143322300 is an abundant number, since it is smaller than the sum of its proper divisors (16846134611876).

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

13312143322300 is a wasteful number, since it uses less digits than its factorization.

13312143322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871607 (or 2871600 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13312143322300 its reverse (322334121331), we get a palindrome (13634477443631).

The spelling of 13312143322300 in words is "thirteen trillion, three hundred twelve billion, one hundred forty-three million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2017 2300 4034 8068 10085 20170 40340 46391 50425 92782 100850 185564 201700 231955 463910 927820 1159775 2319550 2869553 4639100 5739106 11478212 14347765 28695530 57391060 65999719 71738825 131999438 143477650 263998876 286955300 329998595 659997190 1319994380 1649992975 3299985950 5787888401 6599971900 11575776802 23151553604 28939442005 57878884010 115757768020 133121433223 144697210025 266242866446 289394420050 532485732892 578788840100 665607166115 1331214332230 2662428664460 3328035830575 6656071661150 13312143322300