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2312303111300 = 22527131371854739
BaseRepresentation
bin100001101001100000000…
…000010110110010000100
322012001110101020200121002
4201221200000112302010
5300341044044030200
64530131332312432
7326026012102520
oct41514000266204
98161411220532
102312303111300
11811707908766
12314181772718
1313a0842747a0
147dcb7992d80
1540235832bd5
hex21a60016c84

2312303111300 has 144 divisors (see below), whose sum is σ = 6220708932480. Its totient is φ = 726463779840.

The previous prime is 2312303111299. The next prime is 2312303111329. The reversal of 2312303111300 is 31113032132.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319331 + ... + 2174069.

Almost surely, 22312303111300 is an apocalyptic number.

2312303111300 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 2312303111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110354466240).

2312303111300 is an abundant number, since it is smaller than the sum of its proper divisors (3908405821180).

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

2312303111300 is a wasteful number, since it uses less digits than its factorization.

2312303111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854910 (or 1854903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2312303111300 its reverse (31113032132), we get a palindrome (2343416143432).

The spelling of 2312303111300 in words is "two trillion, three hundred twelve billion, three hundred three million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 137 140 175 182 260 274 325 350 364 455 548 650 685 700 910 959 1300 1370 1781 1820 1918 2275 2740 3425 3562 3836 4550 4795 6850 7124 8905 9100 9590 12467 13700 17810 19180 23975 24934 35620 44525 47950 49868 62335 89050 95900 124670 178100 249340 311675 623350 1246700 1854739 3709478 7418956 9273695 12983173 18547390 24111607 25966346 37094780 46368475 48223214 51932692 64915865 92736950 96446428 120558035 129831730 168781249 185473900 241116070 254099243 259663460 324579325 337562498 482232140 508198486 602790175 649158650 675124996 843906245 1016396972 1205580350 1270496215 1298317300 1687812490 1778694701 2411160700 2540992430 3303290159 3375624980 3557389402 4219531225 5081984860 6352481075 6606580318 7114778804 8439062450 8893473505 12704962150 13213160636 16516450795 16878124900 17786947010 23123031113 25409924300 33032901590 35573894020 44467367525 46246062226 66065803180 82582253975 88934735050 92492124452 115615155565 165164507950 177869470100 231230311130 330329015900 462460622260 578075777825 1156151555650 2312303111300