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1112033011332 = 2231929239703699
BaseRepresentation
bin10000001011101010010…
…101010010011010000100
310221022100111022002010010
4100023222111102122010
5121204420422330312
62210505542430220
7143225133431145
oct20135225223204
93838314262103
101112033011332
1139967970a561
1215b629732370
1380b30a2a619
143bb73639acc
151ddd709293c
hex102ea552684

1112033011332 has 96 divisors (see below), whose sum is σ = 2837318400000. Its totient is φ = 337639929984.

The previous prime is 1112033011291. The next prime is 1112033011363. The reversal of 1112033011332 is 2331103302111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1112033011299 and 1112033011308.

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, 1228419 + ... + 1932117.

It is an arithmetic number, because the mean of its divisors is an integer number (29555400000).

Almost surely, 21112033011332 is an apocalyptic number.

1112033011332 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 1112033011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418659200000).

1112033011332 is an abundant number, since it is smaller than the sum of its proper divisors (1725285388668).

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

1112033011332 is a wasteful number, since it uses less digits than its factorization.

1112033011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703993 (or 703991 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1112033011332 its reverse (2331103302111), we get a palindrome (3443136313443).

The spelling of 1112033011332 in words is "one trillion, one hundred twelve billion, thirty-three million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 239 348 478 551 717 956 1102 1434 1653 2204 2868 3306 4541 6612 6931 9082 13623 13862 18164 20793 27246 27724 41586 54492 83172 131689 263378 395067 526756 703699 790134 1407398 1580268 2111097 2814796 4222194 8444388 13370281 20407271 26740562 40110843 40814542 53481124 61221813 80221686 81629084 122443626 160443372 168184061 244887252 336368122 387738149 504552183 672736244 775476298 1009104366 1163214447 1550952596 2018208732 2326428894 3195497159 4652857788 4877337769 6390994318 9586491477 9754675538 12781988636 14632013307 19172982954 19509351076 29264026614 38345965908 58528053228 92669417611 185338835222 278008252833 370677670444 556016505666 1112033011332