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3031201012 = 227417137189
BaseRepresentation
bin1011010010101100…
…0111010011110100
321211020201222002011
42310223013103310
522201441413022
61220441054004
7135054532510
oct26453072364
97736658064
103031201012
111316041204
12707187304
13393cba088
1420a809140
1512b1a8977
hexb4ac74f4

3031201012 has 48 divisors (see below), whose sum is σ = 6297903360. Its totient is φ = 1249516800.

The previous prime is 3031200961. The next prime is 3031201037. The reversal of 3031201012 is 2101021303.

It is a junction number, because it is equal to n+sod(n) for n = 3031200983 and 3031201001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62914 + ... + 100102.

It is an arithmetic number, because the mean of its divisors is an integer number (131206320).

Almost surely, 23031201012 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 3031201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148951680).

3031201012 is an abundant number, since it is smaller than the sum of its proper divisors (3266702348).

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

3031201012 is a wasteful number, since it uses less digits than its factorization.

3031201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37312 (or 37310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3031201012 is about 55056.3439759670. The cubic root of 3031201012 is about 1447.2322966962.

Adding to 3031201012 its reverse (2101021303), we get a palindrome (5132222315).

The spelling of 3031201012 in words is "three billion, thirty-one million, two hundred one thousand, twelve".

Divisors: 1 2 4 7 14 28 41 71 82 142 164 284 287 497 574 994 1148 1988 2911 5822 11644 20377 37189 40754 74378 81508 148756 260323 520646 1041292 1524749 2640419 3049498 5280838 6098996 10561676 10673243 18482933 21346486 36965866 42692972 73931732 108257179 216514358 433028716 757800253 1515600506 3031201012