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2312300213300 = 22527111811659109
BaseRepresentation
bin100001101001011111110…
…101010011010000110100
322012001110011210110021202
4201221133311103100310
5300341042323311200
64530131150232032
7326025645342530
oct41513765232064
98161404713252
102312300213300
11811706209420
123141807b5618
1313a08379b6ac
147dcb743abc0
154023545e1d5
hex21a5fd53434

2312300213300 has 144 divisors (see below), whose sum is σ = 6290389472640. Its totient is φ = 716734656000.

The previous prime is 2312300213239. The next prime is 2312300213303. The reversal of 2312300213300 is 33120032132.

2312300213300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312300213303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564146 + ... + 2223254.

Almost surely, 22312300213300 is an apocalyptic number.

2312300213300 is a gapful number since it is divisible by the number (20) 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 2312300213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145194736320).

2312300213300 is an abundant number, since it is smaller than the sum of its proper divisors (3978089259340).

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

2312300213300 is a wasteful number, since it uses less digits than its factorization.

2312300213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659322 (or 1659315 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2312300213300 its reverse (33120032132), we get a palindrome (2345420245432).

The spelling of 2312300213300 in words is "two trillion, three hundred twelve billion, three hundred million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 181 220 275 308 350 362 385 550 700 724 770 905 1100 1267 1540 1810 1925 1991 2534 3620 3850 3982 4525 5068 6335 7700 7964 9050 9955 12670 13937 18100 19910 25340 27874 31675 39820 49775 55748 63350 69685 99550 126700 139370 199100 278740 348425 696850 1393700 1659109 3318218 6636436 8295545 11613763 16591090 18250199 23227526 33182180 36500398 41477725 46455052 58068815 73000796 82955450 91250995 116137630 127751393 165910900 182501990 232275260 255502786 290344075 300298729 365003980 456254975 511005572 580688150 600597458 638756965 912509950 1161376300 1201194916 1277513930 1501493645 1825019900 2102091103 2555027860 3002987290 3193784825 3303286019 4204182206 6005974580 6387569650 6606572038 7507468225 8408364412 10510455515 12775139300 13213144076 15014936450 16516430095 21020911030 23123002133 30029872900 33032860190 42041822060 46246004266 52552277575 66065720380 82582150475 92492008532 105104555150 115615010665 165164300950 210209110300 231230021330 330328601900 462460042660 578075053325 1156150106650 2312300213300