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200302323012 = 22331131321721
BaseRepresentation
bin1011101010001011110…
…0101110010101000100
3201011000102011021201000
42322202330232111010
511240204343314022
6232003445533300
720320451440131
oct2724274562504
9634012137630
10200302323012
1177a47491a30
12329a0a14230
1315b71b5142c
1499a22db588
155324c916ac
hex2ea2f2e544

200302323012 has 144 divisors (see below), whose sum is σ = 568657575360. Its totient is φ = 60468595200.

The previous prime is 200302322963. The next prime is 200302323041. The reversal of 200302323012 is 210323203002.

It is a happy number.

200302323012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 116386312 + ... + 116388032.

It is an arithmetic number, because the mean of its divisors is an integer number (3949010940).

Almost surely, 2200302323012 is an apocalyptic number.

200302323012 is a gapful number since it is divisible by the number (22) 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 200302323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284328787680).

200302323012 is an abundant number, since it is smaller than the sum of its proper divisors (368355252348).

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

200302323012 is a wasteful number, since it uses less digits than its factorization.

200302323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 200302323012 its reverse (210323203002), we get a palindrome (410625526014).

The spelling of 200302323012 in words is "two hundred billion, three hundred two million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 313 396 594 626 939 1188 1252 1721 1878 2817 3442 3443 3756 5163 5634 6884 6886 8451 10326 10329 11268 13772 15489 16902 18931 20652 20658 30978 30987 33804 37862 41316 46467 56793 61956 61974 75724 92934 92961 97969 113586 123948 170379 185868 185922 195938 227172 293907 340758 371844 391876 511137 538673 587814 681516 881721 1022274 1077346 1077659 1175628 1616019 1763442 2044548 2154692 2155318 2645163 3232038 3232977 3526884 4310636 4848057 5290326 5925403 6464076 6465954 9696114 9698931 10580652 11850806 12931908 14544171 17776209 19392228 19397862 23701612 29088342 29096793 35552418 38795724 53328627 58176684 58193586 71104836 106657254 116387172 159985881 168604649 213314508 319971762 337209298 505813947 639943524 674418596 1011627894 1517441841 1854651139 2023255788 3034883682 3709302278 4552325523 5563953417 6069767364 7418604556 9104651046 11127906834 16691860251 18209302092 22255813668 33383720502 50075580753 66767441004 100151161506 200302323012