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133300111332332 = 2274325994298419
BaseRepresentation
bin11110010011110001011001…
…110010001101001111101100
3122110222100212221200212012202
4132103301121302031033230
5114432442112000113312
61151301120432521032
740035421011202250
oct3623613162151754
9573870787625182
10133300111332332
11395232947a189a
1212b4a5556b0178
13594c1b9cc45b9
1424cba8ccd8260
15106269613d9c2
hex793c59c8d3ec

133300111332332 has 72 divisors (see below), whose sum is σ = 273400144416000. Its totient is φ = 55706878307808.

The previous prime is 133300111332319. The next prime is 133300111332341. The reversal of 133300111332332 is 233233111003331.

It is a junction number, because it is equal to n+sod(n) for n = 133300111332295 and 133300111332304.

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, 28862219 + ... + 33160637.

It is an arithmetic number, because the mean of its divisors is an integer number (3797224228000).

Almost surely, 2133300111332332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133300111332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136700072208000).

133300111332332 is an abundant number, since it is smaller than the sum of its proper divisors (140100033083668).

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

133300111332332 is a wasteful number, since it uses less digits than its factorization.

133300111332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299115 (or 4299070 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 133300111332332 its reverse (233233111003331), we get a palindrome (366533222335663).

The spelling of 133300111332332 in words is "one hundred thirty-three trillion, three hundred billion, one hundred eleven million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 599 602 1198 1204 1849 2396 3698 4193 7396 8386 12943 16772 25757 25886 51514 51772 103028 180299 360598 721196 1107551 2215102 4298419 4430204 7752857 8596838 15505714 17193676 30088933 31011428 60177866 120355732 184832017 369664034 739328068 1293824119 2574752981 2587648238 5149505962 5175296476 7947776731 10299011924 15895553462 18023270867 31791106924 36046541734 55634437117 72093083468 110714378183 111268874234 221428756366 222537748468 442857512732 775000647281 1550001294562 3100002589124 4760718261869 9521436523738 19042873047476 33325027833083 66650055666166 133300111332332