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200301012 = 2235251821
BaseRepresentation
bin10111111000001…
…01100111010100
3111221220100100000
423330011213110
5402234113022
631513051300
74651346652
oct1374054724
9457810300
10200301012
11a307912a
12570b6b30
1332661312
141c85ddd2
15128b86ac
hexbf059d4

200301012 has 72 divisors (see below), whose sum is σ = 527802912. Its totient is φ = 66420000.

The previous prime is 200301001. The next prime is 200301019. The reversal of 200301012 is 210103002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200300985 and 200301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200301019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243562 + ... + 244382.

It is an arithmetic number, because the mean of its divisors is an integer number (7330596).

Almost surely, 2200301012 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 200301012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263901456).

200301012 is an abundant number, since it is smaller than the sum of its proper divisors (327501900).

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

200301012 is a wasteful number, since it uses less digits than its factorization.

200301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 200301012 is about 14152.7740037068. The cubic root of 200301012 is about 585.0967887191.

Adding to 200301012 its reverse (210103002), we get a palindrome (410404014).

The spelling of 200301012 in words is "two hundred million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 251 324 486 502 753 821 972 1004 1506 1642 2259 2463 3012 3284 4518 4926 6777 7389 9036 9852 13554 14778 20331 22167 27108 29556 40662 44334 60993 66501 81324 88668 121986 133002 199503 206071 243972 266004 399006 412142 618213 798012 824284 1236426 1854639 2472852 3709278 5563917 7418556 11127834 16691751 22255668 33383502 50075253 66767004 100150506 200301012