Search a number
-
+
12031322111310 = 235619117216787
BaseRepresentation
bin1010111100010100001010…
…1011100011110101001110
31120121011221112011012221010
42233011002223203311032
53034110121430030220
641331040231350050
72351143243403205
oct257050253436516
946534845135833
1012031322111310
113919500748707
121423901522326
13693719962068
142d846786223c
1515ce67b561e0
hexaf142ae3d4e

12031322111310 has 64 divisors (see below), whose sum is σ = 29380756368384. Its totient is φ = 3152292124800.

The previous prime is 12031322111299. The next prime is 12031322111329. The reversal of 12031322111310 is 1311122313021.

It is a super-2 number, since 2×120313221113102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1941264 + ... + 5275523.

It is an arithmetic number, because the mean of its divisors is an integer number (459074318256).

Almost surely, 212031322111310 is an apocalyptic number.

12031322111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12031322111310 is an abundant number, since it is smaller than the sum of its proper divisors (17349434257074).

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

12031322111310 is a wasteful number, since it uses less digits than its factorization.

12031322111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217769.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12031322111310 its reverse (1311122313021), we get a palindrome (13342444424331).

The spelling of 12031322111310 in words is "twelve trillion, thirty-one billion, three hundred twenty-two million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 911 915 1822 1830 2733 4555 5466 9110 13665 27330 55571 111142 166713 277855 333426 555710 833565 1667130 7216787 14433574 21650361 36083935 43300722 72167870 108251805 216503610 440224007 880448014 1320672021 2201120035 2641344042 4402240070 6574492957 6603360105 13148985914 13206720210 19723478871 32872464785 39446957742 65744929570 98617394355 197234788710 401044070377 802088140754 1203132211131 2005220351885 2406264422262 4010440703770 6015661055655 12031322111310