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20012112300 = 22352374143973
BaseRepresentation
bin10010101000110100…
…001001100110101100
31220122200022122012110
4102220310021212230
5311441100043200
613105441004020
71305630101505
oct225064114654
956580278173
1020012112300
11853a352194
123a66023610
131b6c058a8b
14d7bb59bac
157c1d5eb50
hex4a8d099ac

20012112300 has 144 divisors (see below), whose sum is σ = 60918413472. Its totient is φ = 5065574400.

The previous prime is 20012112299. The next prime is 20012112347. The reversal of 20012112300 is 321121002.

It is a super-2 number, since 2×200121123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 433114 + ... + 477086.

It is an arithmetic number, because the mean of its divisors is an integer number (423044538).

Almost surely, 220012112300 is an apocalyptic number.

20012112300 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 20012112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459206736).

20012112300 is an abundant number, since it is smaller than the sum of its proper divisors (40906301172).

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

20012112300 is a wasteful number, since it uses less digits than its factorization.

20012112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44068 (or 44061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20012112300 its reverse (321121002), we get a palindrome (20333233302).

The spelling of 20012112300 in words is "twenty billion, twelve million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 41 50 60 74 75 82 100 111 123 148 150 164 185 205 222 246 300 370 410 444 492 555 615 740 820 925 1025 1110 1230 1517 1850 2050 2220 2460 2775 3034 3075 3700 4100 4551 5550 6068 6150 7585 9102 11100 12300 15170 18204 22755 30340 37925 43973 45510 75850 87946 91020 113775 131919 151700 175892 219865 227550 263838 439730 455100 527676 659595 879460 1099325 1319190 1627001 1802893 2198650 2638380 3254002 3297975 3605786 4397300 4881003 5408679 6508004 6595950 7211572 8135005 9014465 9762006 10817358 13191900 16270010 18028930 19524012 21634716 24405015 27043395 32540020 36057860 40675025 45072325 48810030 54086790 66707041 81350050 90144650 97620060 108173580 122025075 133414082 135216975 162700100 180289300 200121123 244050150 266828164 270433950 333535205 400242246 488100300 540867900 667070410 800484492 1000605615 1334140820 1667676025 2001211230 3335352050 4002422460 5003028075 6670704100 10006056150 20012112300