Search a number
-
+
12231042023032 = 23723491130314843
BaseRepresentation
bin1011000111111100001011…
…1010100011111001111000
31121022021110100101221112121
42301333002322203321320
53100343133224214112
642002510234251024
72401443423551260
oct261770272437170
947267410357477
1012231042023032
1139961793a5398
12145655b286a74
136a94c7c35611
14303db26747a0
15163256701407
hexb1fc2ea3e78

12231042023032 has 128 divisors (see below), whose sum is σ = 27427493928960. Its totient is φ = 4999578756480.

The previous prime is 12231042022933. The next prime is 12231042023047. The reversal of 12231042023032 is 23032024013221.

It is a junction number, because it is equal to n+sod(n) for n = 12231042022988 and 12231042023006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824020203 + ... + 824035045.

It is an arithmetic number, because the mean of its divisors is an integer number (214277296320).

Almost surely, 212231042023032 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 12231042023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713746964480).

12231042023032 is an abundant number, since it is smaller than the sum of its proper divisors (15196451905928).

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

12231042023032 is a wasteful number, since it uses less digits than its factorization.

12231042023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16673 (or 16669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12231042023032 its reverse (23032024013221), we get a palindrome (35263066036253).

The spelling of 12231042023032 in words is "twelve trillion, two hundred thirty-one billion, forty-two million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 491 644 982 1288 1303 1964 2606 3437 3928 5212 6874 9121 10424 11293 13748 14843 18242 22586 27496 29686 29969 36484 45172 59372 59938 72968 79051 90344 103901 118744 119876 158102 207802 209783 239752 316204 341389 415604 419566 632408 639773 682778 831208 839132 1279546 1365556 1678264 2389723 2559092 2731112 4478411 4779446 5118184 7287913 8956822 9558892 14575826 14714779 17913644 19117784 19340429 29151652 29429558 35827288 38680858 51015391 58303304 58859116 77361716 102030782 103003453 117718232 135383003 154723432 167621999 204061564 206006906 270766006 335243998 408123128 412013812 444829867 541532012 670487996 824027624 889659734 1083064024 1173353993 1340975992 1779319468 2346707986 3113809069 3558638936 4693415972 6227618138 9386831944 9496150639 12455236276 18992301278 24910472552 37984602556 66473054473 75969205112 132946108946 218411464697 265892217892 436822929394 531784435784 873645858788 1528880252879 1747291717576 3057760505758 6115521011516 12231042023032