Search a number
-
+
1103213067852 = 2237103353361217
BaseRepresentation
bin10000000011011100100…
…111110111111001001100
310220110120211000112012210
4100003130213313321030
5121033340021132402
62202450432430420
7142463435232210
oct20033447677114
93813524015183
101103213067852
1139596301a475
121599879a8410
1380056670b5c
143b5780d4940
151da6cad106c
hex100dc9f7e4c

1103213067852 has 96 divisors (see below), whose sum is σ = 2978886822912. Its totient is φ = 311258382336.

The previous prime is 1103213067823. The next prime is 1103213067871. The reversal of 1103213067852 is 2587603123011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1103213067852.

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, 2873548 + ... + 3234764.

It is an arithmetic number, because the mean of its divisors is an integer number (31030071072).

Almost surely, 21103213067852 is an apocalyptic number.

1103213067852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103213067852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489443411456).

1103213067852 is an abundant number, since it is smaller than the sum of its proper divisors (1875673755060).

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

1103213067852 is a wasteful number, since it uses less digits than its factorization.

1103213067852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361687 (or 361685 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 1103213067852 in words is "one trillion, one hundred three billion, two hundred thirteen million, sixty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 353 412 618 706 721 1059 1236 1412 1442 2118 2163 2471 2884 4236 4326 4942 7413 8652 9884 14826 29652 36359 72718 109077 145436 218154 254513 361217 436308 509026 722434 763539 1018052 1083651 1444868 1527078 2167302 2528519 3054156 4334604 5057038 7585557 10114076 15171114 30342228 37205351 74410702 111616053 127509601 148821404 223232106 255019202 260437457 382528803 446464212 510038404 520874914 765057606 781312371 892567207 1041749828 1530115212 1562624742 1785134414 2677701621 3125249484 3570268828 5355403242 10710806484 13133488903 26266977806 39400466709 52533955612 78800933418 91934422321 157601866836 183868844642 275803266963 367737689284 551606533926 1103213067852