Search a number
-
+
1201113112221 = 341123736731193
BaseRepresentation
bin10001011110100111111…
…010111001111010011101
311020211021122020001220000
4101132213322321322131
5124134334424042341
62315441142244513
7152530463000121
oct21364772717235
94224248201800
101201113112221
11423431047850
1217494a426739
13893590a99a9
14421c42bb581
152139c7b18b6
hex117a7eb9e9d

1201113112221 has 160 divisors (see below), whose sum is σ = 2075266144512. Its totient is φ = 685163888640.

The previous prime is 1201113112217. The next prime is 1201113112237. The reversal of 1201113112221 is 1222113111021.

It is a happy number.

1201113112221 is a `hidden beast` number, since 1 + 20 + 111 + 311 + 2 + 221 = 666.

It is not a de Polignac number, because 1201113112221 - 22 = 1201113112217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201113112194 and 1201113112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201113112271) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1006800001 + ... + 1006801193.

Almost surely, 21201113112221 is an apocalyptic number.

1201113112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201113112221 is a deficient number, since it is larger than the sum of its proper divisors (874153032291).

1201113112221 is a wasteful number, since it uses less digits than its factorization.

1201113112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1201113112221 its reverse (1222113111021), we get a palindrome (2423226223242).

The spelling of 1201113112221 in words is "one trillion, two hundred one billion, one hundred thirteen million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 23 27 33 69 73 81 99 207 219 253 297 621 657 673 759 803 891 1193 1679 1863 1971 2019 2277 2409 3579 5037 5913 6057 6831 7227 7403 10737 13123 15111 15479 18171 18469 20493 21681 22209 27439 32211 39369 45333 46437 49129 54513 55407 65043 66627 82317 87089 96633 118107 135999 139311 147387 166221 170269 199881 246951 261267 301829 354321 417933 442161 498663 510807 540419 599643 740853 783801 802889 905487 957979 1062963 1129967 1253799 1326483 1495989 1532421 1621257 2003047 2222559 2351403 2408667 2716461 2873937 3389901 3979449 4597263 4863771 6009141 7054209 7226001 8149383 8621811 8831779 10169703 12429637 13791789 14591313 18027423 18466447 21678003 22033517 24448149 25865433 26495337 30509109 37288911 43773939 54082269 55399341 58610897 65034009 66100551 77596299 79486011 91527327 111866733 162246807 166198023 175832691 198301653 203130917 238458033 335600199 498594069 527498073 594904959 609392751 644719867 715374099 1006800597 1348050631 1495782207 1582494219 1784714877 1828178253 1934159601 4044151893 4747482657 5484534759 5802478803 12132455679 14828556941 16453604277 17407436409 36397367037 44485670823 52222309227 109192101111 133457012469 400371037407 1201113112221