Search a number
-
+
1120201220112 = 2431313182316651
BaseRepresentation
bin10000010011010001001…
…100100010000000010000
310222002102202020002002020
4100103101030202000100
5121323133003020422
62214340251451440
7143634426160002
oct20232114420020
93862382202066
101120201220112
113a2090426727
12161129156b80
1381833076660
143c30a3ac372
151e21421795c
hex104d1322010

1120201220112 has 160 divisors (see below), whose sum is σ = 3144251421696. Its totient is φ = 341610048000.

The previous prime is 1120201220093. The next prime is 1120201220113. The reversal of 1120201220112 is 2110221020211.

It is a junction number, because it is equal to n+sod(n) for n = 1120201220091 and 1120201220100.

It is not an unprimeable number, because it can be changed into a prime (1120201220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67266987 + ... + 67283637.

Almost surely, 21120201220112 is an apocalyptic number.

1120201220112 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 1120201220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572125710848).

1120201220112 is an abundant number, since it is smaller than the sum of its proper divisors (2024050201584).

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

1120201220112 is a wasteful number, since it uses less digits than its factorization.

1120201220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17629 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1120201220112 its reverse (2110221020211), we get a palindrome (3230422240323).

The spelling of 1120201220112 in words is "one trillion, one hundred twenty billion, two hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 262 312 393 524 624 786 823 1048 1572 1646 1703 2096 2469 3144 3292 3406 4938 5109 6288 6584 6812 9876 10218 10699 13168 13624 16651 19752 20436 21398 27248 32097 33302 39504 40872 42796 49953 64194 66604 81744 85592 99906 107813 128388 133208 171184 199812 215626 216463 256776 266416 323439 399624 431252 432926 513552 646878 649389 799248 862504 865852 1293756 1298778 1401569 1725008 1731704 2181281 2587512 2597556 2803138 3463408 4204707 4362562 5175024 5195112 5606276 6543843 8409414 8725124 10390224 11212552 13087686 13703773 16818828 17450248 22425104 26175372 27407546 28356653 33637656 34900496 41111319 52350744 54815092 56713306 67275312 82222638 85069959 104701488 109630184 113426612 164445276 170139918 178149049 219260368 226853224 328890552 340279836 356298098 453706448 534447147 657781104 680559672 712596196 1068894294 1361119344 1425192392 1795194263 2137788588 2850384784 3590388526 4275577176 5385582789 7180777052 8551154352 10771165578 14361554104 21542331156 23337525419 28723108208 43084662312 46675050838 70012576257 86169324624 93350101676 140025152514 186700203352 280050305028 373400406704 560100610056 1120201220112