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200322101232032 = 25134379371410947
BaseRepresentation
bin101101100011000100011111…
…101011110100000110100000
3222021021121100122221000000212
4231203010133223310012200
5202224034130403411112
61550014411452433252
760123536261522033
oct5543043753640640
9867247318830025
10200322101232032
115891314283936a
121a573922478828
1387a13a6bc4c80
1437678da13901a
151825c86bc6522
hexb6311faf41a0

200322101232032 has 96 divisors (see below), whose sum is σ = 434653683532992. Its totient is φ = 90294764765184.

The previous prime is 200322101231983. The next prime is 200322101232037. The reversal of 200322101232032 is 230232101223002.

It is a junction number, because it is equal to n+sod(n) for n = 200322101231989 and 200322101232007.

It is not an unprimeable number, because it can be changed into a prime (200322101232037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141271583 + ... + 142682529.

It is an arithmetic number, because the mean of its divisors is an integer number (4527642536802).

Almost surely, 2200322101232032 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 200322101232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217326841766496).

200322101232032 is an abundant number, since it is smaller than the sum of its proper divisors (234331582300960).

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

200322101232032 is a wasteful number, since it uses less digits than its factorization.

200322101232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418950 (or 1418942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 200322101232032 its reverse (230232101223002), we get a palindrome (430554202455034).

The spelling of 200322101232032 in words is "two hundred trillion, three hundred twenty-two billion, one hundred one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 4472 7937 8944 15874 17888 31748 63496 103181 126992 206362 253984 341291 412724 682582 825448 1365164 1410947 1650896 2730328 2821894 3301792 4436783 5460656 5643788 8873566 10921312 11287576 17747132 18342311 22575152 35494264 36684622 45150304 60670721 70988528 73369244 121341442 141977056 146738488 242682884 293476976 485365768 586953952 788719373 970731536 1577438746 1941463072 3154877492 6309754984 11198686339 12619509968 22397372678 25239019936 44794745356 89589490712 145582922407 179178981424 291165844814 358357962848 481543512577 582331689628 963087025154 1164663379256 1926174050308 2329326758512 3852348100616 4658653517024 6260065663501 7704696201232 12520131327002 15409392402464 25040262654004 50080525308008 100161050616016 200322101232032