Search a number
-
+
12422411202032 = 24132109400310529
BaseRepresentation
bin1011010011000101000101…
…1010000010110111110000
31121222120102012021111101222
42310301101122002313300
53112012044231431112
642230435452044212
72421326634000656
oct264612132026760
947876365244358
1012422411202032
113a5a3512a9a77
121487668463668
136c1575114200
1430d3683a0dd6
151682070c0372
hexb4c51682df0

12422411202032 has 120 divisors (see below), whose sum is σ = 26310427743600. Its totient is φ = 5678861819904.

The previous prime is 12422411201983. The next prime is 12422411202041. The reversal of 12422411202032 is 23020211422421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12422411201992 and 12422411202010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179822944 + ... + 1179833472.

It is an arithmetic number, because the mean of its divisors is an integer number (219253564530).

Almost surely, 212422411202032 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 12422411202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155213871800).

12422411202032 is an abundant number, since it is smaller than the sum of its proper divisors (13888016541568).

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

12422411202032 is a wasteful number, since it uses less digits than its factorization.

12422411202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14675 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12422411202032 its reverse (23020211422421), we get a palindrome (35442622624453).

The spelling of 12422411202032 in words is "twelve trillion, four hundred twenty-two billion, four hundred eleven million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 109 169 208 218 338 436 676 872 1352 1417 1744 2704 2834 4003 5668 8006 10529 11336 16012 18421 21058 22672 32024 36842 42116 52039 64048 73684 84232 104078 136877 147368 168464 208156 273754 294736 416312 436327 547508 676507 832624 872654 1095016 1147661 1353014 1745308 1779401 2190032 2295322 2706028 3490616 3558802 4590644 5412056 5672251 6981232 7117604 9181288 10824112 11344502 14235208 14919593 18362576 22689004 28470416 29839186 42147587 45378008 59678372 73739263 84295174 90756016 119356744 147478526 168590348 193954709 238713488 294957052 337180696 387909418 547918631 589914104 674361392 775818836 1095837262 1179828208 1551637672 2191674524 3103275344 4383349048 4594086983 7122942203 8766698096 9188173966 14245884406 18376347932 28491768812 36752695864 56983537624 59723130779 73505391728 113967075248 119446261558 238892523116 477785046232 776400700127 955570092464 1552801400254 3105602800508 6211205601016 12422411202032