Search a number
-
+
1133113200318 = 232119629594329
BaseRepresentation
bin10000011111010010110…
…011110100111010111110
311000022202121101122002100
4100133102303310322332
5122031103434402233
62224313420205530
7144602413200111
oct20372263647276
94008677348070
101133113200318
113a7606952550
121637313998a6
1382b1013a828
143cbb3184578
151e71ca7e813
hex107d2cf4ebe

1133113200318 has 48 divisors (see below), whose sum is σ = 2678550217200. Its totient is φ = 343331399040.

The previous prime is 1133113200311. The next prime is 1133113200341. The reversal of 1133113200318 is 8130023113311.

It is a happy number.

1133113200318 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 32 + 0 + 0 + 318 = 666.

It is a super-3 number, since 3×11331132003183 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1133113200291 and 1133113200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133113200311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609378 + ... + 2203706.

It is an arithmetic number, because the mean of its divisors is an integer number (55803129525).

Almost surely, 21133113200318 is an apocalyptic number.

1133113200318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1133113200318 is an abundant number, since it is smaller than the sum of its proper divisors (1545437016882).

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

1133113200318 is a wasteful number, since it uses less digits than its factorization.

1133113200318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603977 (or 603974 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1133113200318 its reverse (8130023113311), we get a palindrome (9263136313629).

The spelling of 1133113200318 in words is "one trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 9629 19258 28887 57774 86661 105919 173322 211838 317757 594329 635514 953271 1188658 1782987 1906542 3565974 5348961 6537619 10697922 13075238 19612857 39225714 58838571 117677142 5722793941 11445587882 17168381823 34336763646 51505145469 62950733351 103010290938 125901466702 188852200053 377704400106 566556600159 1133113200318