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300120203032 = 2313314114831531
BaseRepresentation
bin1000101111000001000…
…11101101111100011000
31001200122220002222022021
410113200203231330120
514404121232444112
6345512345304224
730453154430446
oct4274043557430
91050586088267
10300120203032
1110630a037651
124a1b9795074
13223bb9c7070
14107510b1b96
157c18004907
hex45e08edf18

300120203032 has 128 divisors (see below), whose sum is σ = 641669253120. Its totient is φ = 130605696000.

The previous prime is 300120202919. The next prime is 300120203083. The reversal of 300120203032 is 230302021003.

It is a junction number, because it is equal to n+sod(n) for n = 300120202997 and 300120203015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196028107 + ... + 196029637.

It is an arithmetic number, because the mean of its divisors is an integer number (5013041040).

Almost surely, 2300120203032 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 300120203032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320834626560).

300120203032 is an abundant number, since it is smaller than the sum of its proper divisors (341549050088).

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

300120203032 is a wasteful number, since it uses less digits than its factorization.

300120203032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 300120203032 its reverse (230302021003), we get a palindrome (530422224035).

The spelling of 300120203032 in words is "three hundred billion, one hundred twenty million, two hundred three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 31 41 52 62 82 104 124 164 248 328 403 533 806 1066 1271 1483 1531 1612 2132 2542 2966 3062 3224 4264 5084 5932 6124 10168 11864 12248 16523 19279 19903 33046 38558 39806 45973 47461 60803 62771 66092 77116 79612 91946 94922 121606 125542 132184 154232 159224 183892 189844 243212 251084 367784 379688 486424 502168 597649 616993 790439 816023 1195298 1233986 1580878 1632046 1884893 1945901 2270473 2390596 2467972 3161756 3264092 3769786 3891802 4540946 4781192 4935944 6323512 6528184 7539572 7783604 9081892 15079144 15567208 18163784 24503609 25296713 29516149 49007218 50593426 59032298 70384663 93089393 98014436 101186852 118064596 140769326 186178786 196028872 202373704 236129192 281538652 372357572 563077304 744715144 915000619 1210162109 1830001238 2420324218 2885771183 3660002476 4840648436 5771542366 7320004952 9681296872 11543084732 23086169464 37515025379 75030050758 150060101516 300120203032