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200323311121312 = 25431511915047807
BaseRepresentation
bin101101100011000101100111…
…110011001011001110100000
3222021021201110222112202002221
4231203011213303023032200
5202224044120121340222
61550015131512520424
760123611252436031
oct5543054763131640
9867251428482087
10200323311121312
115891370378a065
121a573bbb6b0114
1387a153a76c7a2
1437679b2ac0a88
151825d080170c7
hexb63167ccb3a0

200323311121312 has 96 divisors (see below), whose sum is σ = 408357813878784. Its totient is φ = 96675580512000.

The previous prime is 200323311121277. The next prime is 200323311121379. The reversal of 200323311121312 is 213121113323002.

200323311121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37161313 + ... + 42209119.

It is an arithmetic number, because the mean of its divisors is an integer number (4253727227904).

Almost surely, 2200323311121312 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 200323311121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204178906939392).

200323311121312 is an abundant number, since it is smaller than the sum of its proper divisors (208034502757472).

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

200323311121312 is a wasteful number, since it uses less digits than its factorization.

200323311121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048202 (or 5048194 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 200323311121312 its reverse (213121113323002), we get a palindrome (413444424444314).

The spelling of 200323311121312 in words is "two hundred trillion, three hundred twenty-three billion, three hundred eleven million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 151 172 191 302 344 382 604 688 764 1208 1376 1528 2416 3056 4832 6112 6493 8213 12986 16426 25972 28841 32852 51944 57682 65704 103888 115364 131408 207776 230728 262816 461456 922912 1240163 2480326 4960652 5047807 9921304 10095614 19842608 20191228 39685216 40382456 80764912 161529824 217055701 434111402 762218857 868222804 964131137 1524437714 1736445608 1928262274 3048875428 3472891216 3856524548 6097750856 6945782432 7713049096 12195501712 15426098192 24391003424 30852196384 32775410851 41457638891 65550821702 82915277782 131101643404 145583801687 165830555564 262203286808 291167603374 331661111128 524406573616 582335206748 663322222256 1048813147232 1164670413496 1326644444512 2329340826992 4658681653984 6260103472541 12520206945082 25040413890164 50080827780328 100161655560656 200323311121312