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113231322300 = 2235231113107747
BaseRepresentation
bin110100101110100011…
…1001101110010111100
3101211021021201011020210
41221131013031302330
53323344204303200
6124003500112420
711115656234115
oct1513507156274
9354237634223
10113231322300
1144026147408
1219b40b35710
13a8a6ab4535
1456a240320c
152e2ab31650
hex1a5d1cdcbc

113231322300 has 144 divisors (see below), whose sum is σ = 341180163072. Its totient is φ = 28962124800.

The previous prime is 113231322257. The next prime is 113231322311. The reversal of 113231322300 is 3223132311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997027 + ... + 1104773.

It is an arithmetic number, because the mean of its divisors is an integer number (2369306688).

Almost surely, 2113231322300 is an apocalyptic number.

113231322300 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 113231322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170590081536).

113231322300 is an abundant number, since it is smaller than the sum of its proper divisors (227948840772).

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

113231322300 is a wasteful number, since it uses less digits than its factorization.

113231322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107908 (or 107901 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 113231322300 its reverse (3223132311), we get a palindrome (116454454611).

The spelling of 113231322300 in words is "one hundred thirteen billion, two hundred thirty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 113 124 150 155 186 226 300 310 339 372 452 465 565 620 678 775 930 1130 1356 1550 1695 1860 2260 2325 2825 3100 3390 3503 4650 5650 6780 7006 8475 9300 10509 11300 14012 16950 17515 21018 33900 35030 42036 52545 70060 87575 105090 107747 175150 210180 215494 262725 323241 350300 430988 525450 538735 646482 1050900 1077470 1292964 1616205 2154940 2693675 3232410 3340157 5387350 6464820 6680314 8081025 10020471 10774700 12175411 13360628 16162050 16700785 20040942 24350822 32324100 33401570 36526233 40081884 48701644 50102355 60877055 66803140 73052466 83503925 100204710 121754110 146104932 167007850 182631165 200409420 243508220 250511775 304385275 334015700 365262330 377437741 501023550 608770550 730524660 754875482 913155825 1002047100 1132313223 1217541100 1509750964 1826311650 1887188705 2264626446 3652623300 3774377410 4529252892 5661566115 7548754820 9435943525 11323132230 18871887050 22646264460 28307830575 37743774100 56615661150 113231322300