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113304340305300 = 223523891471660029
BaseRepresentation
bin11001110000110010111000…
…111101001001010110010100
3112212011210022021210102212110
4121300302320331021112110
5104322334242104232200
61040551143444151020
732602653114631524
oct3160627075112624
9485153267712773
10113304340305300
113311411229a841
121085b182398470
134b2b726bc1c41
141dd9d60595684
15d1748c6abb50
hex670cb8f49594

113304340305300 has 144 divisors (see below), whose sum is σ = 328893899443200. Its totient is φ = 30116285606400.

The previous prime is 113304340305257. The next prime is 113304340305319. The reversal of 113304340305300 is 3503043403311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171335686 + ... + 171995714.

It is an arithmetic number, because the mean of its divisors is an integer number (2283985412800).

Almost surely, 2113304340305300 is an apocalyptic number.

113304340305300 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 113304340305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164446949721600).

113304340305300 is an abundant number, since it is smaller than the sum of its proper divisors (215589559137900).

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

113304340305300 is a wasteful number, since it uses less digits than its factorization.

113304340305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661906 (or 661899 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 113304340305300 its reverse (3503043403311), we get a palindrome (116807383708611).

The spelling of 113304340305300 in words is "one hundred thirteen trillion, three hundred four billion, three hundred forty million, three hundred five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 389 778 1167 1471 1556 1945 2334 2942 3890 4413 4668 5835 5884 7355 7780 8826 9725 11670 14710 17652 19450 22065 23340 29175 29420 36775 38900 44130 58350 73550 88260 110325 116700 147100 220650 441300 572219 660029 1144438 1320058 1716657 1980087 2288876 2640116 2861095 3300145 3433314 3960174 5722190 6600290 6866628 7920348 8583285 9900435 11444380 13200580 14305475 16500725 17166570 19800870 28610950 33001450 34333140 39601740 42916425 49502175 57221900 66002900 85832850 99004350 171665700 198008700 256751281 513502562 770253843 970902659 1027005124 1283756405 1540507686 1941805318 2567512810 2912707977 3081015372 3851269215 3883610636 4854513295 5135025620 5825415954 6418782025 7702538430 9709026590 11650831908 12837564050 14563539885 15405076860 19256346075 19418053180 24272566475 25675128100 29127079770 38512692150 48545132950 58254159540 72817699425 77025384300 97090265900 145635398850 291270797700 377681134351 755362268702 1133043403053 1510724537404 1888405671755 2266086806106 3776811343510 4532173612212 5665217015265 7553622687020 9442028358775 11330434030530 18884056717550 22660868061060 28326085076325 37768113435100 56652170152650 113304340305300