Search a number
-
+
1133100111312 = 2432131804333547
BaseRepresentation
bin10000011111010010000…
…001111001010111010000
311000022201200202122100100
4100133102001321113100
5122031042112030222
62224312231452400
7144602164013541
oct20372201712720
94008650678310
101133100111312
113a75aa522594
12163728b27100
1382b0a506c60
143cbb15384c8
151e71b8464ac
hex107d20795d0

1133100111312 has 120 divisors (see below), whose sum is σ = 3415328911904. Its totient is φ = 348616472832.

The previous prime is 1133100111307. The next prime is 1133100111337. The reversal of 1133100111312 is 2131110013311.

1133100111312 is a `hidden beast` number, since 11 + 331 + 0 + 0 + 1 + 11 + 312 = 666.

It is a super-2 number, since 2×11331001113122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 33759723 + ... + 33793269.

Almost surely, 21133100111312 is an apocalyptic number.

1133100111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1133100111312 is an abundant number, since it is smaller than the sum of its proper divisors (2282228800592).

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

1133100111312 is a wasteful number, since it uses less digits than its factorization.

1133100111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51617 (or 51608 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1133100111312 its reverse (2131110013311), we get a palindrome (3264210124623).

The spelling of 1133100111312 in words is "one trillion, one hundred thirty-three billion, one hundred million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 18043 33547 36086 54129 67094 72172 100641 108258 134188 144344 162387 201282 216516 234559 268376 288688 301923 324774 402564 433032 436111 469118 536752 603846 649548 703677 805128 866064 872222 938236 1207692 1299096 1308333 1407354 1610256 1744444 1876472 2111031 2415384 2598192 2616666 2814708 3488888 3752944 3924999 4222062 4830768 5233332 5629416 6977776 7849998 8444124 10466664 11258832 15699996 16888248 20933328 31399992 33776496 62799984 605288521 1210577042 1815865563 2421154084 3631731126 4842308168 5447596689 7263462252 7868750773 9684616336 10895193378 14526924504 15737501546 21790386756 23606252319 29053849008 31475003092 43580773512 47212504638 62950006184 70818756957 87161547024 94425009276 125900012368 141637513914 188850018552 283275027828 377700037104 566550055656 1133100111312