Search a number
-
+
3202311000012 = 2232347666137061
BaseRepresentation
bin101110100110011000100…
…111000000111111001100
3102100010201120002220222120
4232212120213000333030
5404431313104000022
610451042114212540
7450234152245335
oct56463047007714
912303646086876
103202311000012
111025102091443
12438767584150
131a2c90875cb7
14b0dc7cab28c
1558475a0dd5c
hex2e9989c0fcc

3202311000012 has 96 divisors (see below), whose sum is σ = 7964233611264. Its totient is φ = 999125740800.

The previous prime is 3202311000011. The next prime is 3202311000013. The reversal of 3202311000012 is 2100001132023.

3202311000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3202311000011) and next prime (3202311000013).

It is a junction number, because it is equal to n+sod(n) for n = 3202310999955 and 3202311000000.

It is not an unprimeable number, because it can be changed into a prime (3202311000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86387962 + ... + 86425022.

It is an arithmetic number, because the mean of its divisors is an integer number (82960766784).

Almost surely, 23202311000012 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 3202311000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982116805632).

3202311000012 is an abundant number, since it is smaller than the sum of its proper divisors (4761922611252).

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

3202311000012 is a wasteful number, since it uses less digits than its factorization.

3202311000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43799 (or 43797 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3202311000012 its reverse (2100001132023), we get a palindrome (5302312132035).

The spelling of 3202311000012 in words is "three trillion, two hundred two billion, three hundred eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 6486 6661 12972 13322 19983 26644 37061 39966 74122 79932 111183 148244 153203 222366 306406 313067 444732 459609 612812 626134 852403 919218 939201 1252268 1704806 1741867 1838436 1878402 2557209 3409612 3483734 3756804 5114418 5225601 6967468 7200541 10228836 10451202 14401082 20902404 21601623 28802164 40062941 43203246 80125882 86406492 120188823 160251764 240377646 246863321 480755292 493726642 740589963 987453284 1481179926 2962359852 5677856383 11355712766 11602576087 17033569149 22711425532 23205152174 34067138298 34807728261 46410304348 68134276596 69615456522 139230913044 266859250001 533718500002 800577750003 1067437000004 1601155500006 3202311000012