Search a number
-
+
12130101021332 = 2272174219862879
BaseRepresentation
bin1011000010000100001001…
…0111001100101010010100
31120221121220121002202122002
42300201002113030222110
53042214421330140312
641444254054254432
72361241132314500
oct260410227145224
946847817082562
1012130101021332
11395738a882838
12143aa8a357418
1369cb2c4a4a48
142dd158663300
151607e9a8b4c2
hexb08425cca94

12130101021332 has 72 divisors (see below), whose sum is σ = 26152201555200. Its totient is φ = 4891648478976.

The previous prime is 12130101021329. The next prime is 12130101021473. The reversal of 12130101021332 is 23312010103121.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 13626269 + ... + 14489147.

It is an arithmetic number, because the mean of its divisors is an integer number (363225021600).

Almost surely, 212130101021332 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 12130101021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076100777600).

12130101021332 is an abundant number, since it is smaller than the sum of its proper divisors (14022100533868).

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

12130101021332 is a wasteful number, since it uses less digits than its factorization.

12130101021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867133 (or 867124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12130101021332 its reverse (23312010103121), we get a palindrome (35442111124453).

The spelling of 12130101021332 in words is "twelve trillion, one hundred thirty billion, one hundred one million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 4219 8438 16876 29533 59066 71723 118132 143446 206731 286892 413462 502061 826924 862879 1004122 1725758 2008244 3451516 3514427 6040153 7028854 12080306 14057708 14668943 24160612 29337886 42281071 58675772 84562142 102682601 169124284 205365202 410730404 718778207 1437556414 2875112828 3640486501 7280973002 14561946004 25483405507 50966811014 61888270517 101933622028 123776541034 178383838549 247553082068 356767677098 433217893619 713535354196 866435787238 1732871574476 3032525255333 6065050510666 12130101021332