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300200310032 = 24759367123787
BaseRepresentation
bin1000101111001010101…
…01010011010100010000
31001200212110211211110012
410113211111103110100
514404302234410112
6345524330254052
730455146350530
oct4274525232420
91050773754405
10300200310032
11106350281187
124a220587328
132240249405c
141075b9a54c0
157c2007a022
hex45e5553510

300200310032 has 80 divisors (see below), whose sum is σ = 677843281920. Its totient is φ = 126131001984.

The previous prime is 300200310031. The next prime is 300200310083. The reversal of 300200310032 is 230013002003.

It is a super-2 number, since 2×3002003100322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 300200309989 and 300200310016.

It is not an unprimeable number, because it can be changed into a prime (300200310031) 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 15 ways as a sum of consecutive naturals, for example, 2363243 + ... + 2487029.

It is an arithmetic number, because the mean of its divisors is an integer number (8473041024).

Almost surely, 2300200310032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300200310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338921640960).

300200310032 is an abundant number, since it is smaller than the sum of its proper divisors (377642971888).

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

300200310032 is a wasteful number, since it uses less digits than its factorization.

300200310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124228 (or 124222 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 300200310032 its reverse (230013002003), we get a palindrome (530213312035).

The spelling of 300200310032 in words is "three hundred billion, two hundred million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 367 413 472 734 826 944 1468 1652 2569 2936 3304 5138 5872 6608 10276 20552 21653 41104 43306 86612 123787 151571 173224 247574 303142 346448 495148 606284 866509 990296 1212568 1733018 1980592 2425136 3466036 6932072 7303433 13864144 14606866 29213732 45429829 51124031 58427464 90859658 102248062 116854928 181719316 204496124 318008803 363438632 408992248 636017606 726877264 817984496 1272035212 2544070424 2680359911 5088140848 5360719822 10721439644 18762519377 21442879288 37525038754 42885758576 75050077508 150100155016 300200310032