Search a number
-
+
133223122032 = 243711132772709
BaseRepresentation
bin111110000010010110…
…1111000010001110000
3110201212112210210211220
41330010231320101300
54140320104401112
6141111333505040
712424251565410
oct1740455702160
9421775723756
10133223122032
1151554a85450
12219a01a2180
13c74187a830
14663b592640
1536eaccc98c
hex1f04b78470

133223122032 has 160 divisors (see below), whose sum is σ = 462088757760. Its totient is φ = 31941596160.

The previous prime is 133223122013. The next prime is 133223122057. The reversal of 133223122032 is 230221322331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 133223121993 and 133223122011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338307 + ... + 1434402.

It is an arithmetic number, because the mean of its divisors is an integer number (2888054736).

Almost surely, 2133223122032 is an apocalyptic number.

133223122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133223122032 is an abundant number, since it is smaller than the sum of its proper divisors (328865635728).

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

133223122032 is a wasteful number, since it uses less digits than its factorization.

133223122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772751 (or 2772745 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133223122032 its reverse (230221322331), we get a palindrome (363444444363).

It can be divided in two parts, 133223 and 122032, that added together give a triangular number (255255 = T714).

The spelling of 133223122032 in words is "one hundred thirty-three billion, two hundred twenty-three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 2772709 5545418 8318127 11090836 16636254 19408963 22181672 30499799 33272508 36045217 38817926 44363344 58226889 60999598 66545016 72090434 77635852 91499397 108135651 116453778 121999196 133090032 144180868 155271704 182998794 213498593 216271302 232907556 243998392 252316519 288361736 310543408 365997588 396497387 426997186 432542604 465815112 487996784 504633038 576723472 640495779 731995176 756949557 792994774 853994372 865085208 931630224 1009266076 1189492161 1280991558 1463990352 1513899114 1585989548 1707988744 1730170416 2018532152 2378984322 2561983116 2775481709 3027798228 3171979096 3415977488 4037064304 4757968644 5123966232 5550963418 6055596456 6343958192 8326445127 9515937288 10247932464 11101926836 12111192912 16652890254 19031874576 22203853672 33305780508 44407707344 66611561016 133223122032