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20013012300 = 22352443150587
BaseRepresentation
bin10010101000110111…
…100101010101001100
31220122202000100202210
4102220313211111030
5311441312343200
613105512150420
71305640540431
oct225067452514
956582010683
1020013012300
11853a907396
123a66398410
131b6c2b2618
14d7bd11b88
157c1e8b650
hex4a8de554c

20013012300 has 72 divisors (see below), whose sum is σ = 58035410496. Its totient is φ = 5324720960.

The previous prime is 20013012293. The next prime is 20013012307. The reversal of 20013012300 is 321031002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20013012293) and next prime (20013012307).

It is a super-2 number, since 2×200130123002 (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 not an unprimeable number, because it can be changed into a prime (20013012307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57607 + ... + 208193.

It is an arithmetic number, because the mean of its divisors is an integer number (806047368).

Almost surely, 220013012300 is an apocalyptic number.

20013012300 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 20013012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29017705248).

20013012300 is an abundant number, since it is smaller than the sum of its proper divisors (38022398196).

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

20013012300 is a wasteful number, since it uses less digits than its factorization.

20013012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151047 (or 151040 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20013012300 its reverse (321031002), we get a palindrome (20334043302).

The spelling of 20013012300 in words is "twenty billion, thirteen million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 443 886 1329 1772 2215 2658 4430 5316 6645 8860 11075 13290 22150 26580 33225 44300 66450 132900 150587 301174 451761 602348 752935 903522 1505870 1807044 2258805 3011740 3764675 4517610 7529350 9035220 11294025 15058700 22588050 45176100 66710041 133420082 200130123 266840164 333550205 400260246 667100410 800520492 1000650615 1334200820 1667751025 2001301230 3335502050 4002602460 5003253075 6671004100 10006506150 20013012300