Search a number
-
+
132222302300121 = 3112531071975712
BaseRepresentation
bin11110000100000101100111…
…010111000010011111011001
3122100011022212120212001111220
4132010011213113002133121
5114312312233342100441
61145114030452442253
736564513624451635
oct3604054727023731
9570138776761456
10132222302300121
1139148188690400
12129b5699619389
1358a16817b23c7
142491844ac1dc5
15104461393e466
hex7841675c27d9

132222302300121 has 144 divisors (see below), whose sum is σ = 200644751837376. Its totient is φ = 77356876396800.

The previous prime is 132222302300111. The next prime is 132222302300161. The reversal of 132222302300121 is 121003203222231.

It is not a de Polignac number, because 132222302300121 - 25 = 132222302300089 is a prime.

It is a super-2 number, since 2×1322223023001212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132222302300091 and 132222302300100.

It is not an unprimeable number, because it can be changed into a prime (132222302300111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231562700766 + ... + 231562701336.

It is an arithmetic number, because the mean of its divisors is an integer number (1393366332204).

Almost surely, 2132222302300121 is an apocalyptic number.

132222302300121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132222302300121 is a deficient number, since it is larger than the sum of its proper divisors (68422449537255).

132222302300121 is a wasteful number, since it uses less digits than its factorization.

132222302300121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132222302300121 its reverse (121003203222231), we get a palindrome (253225505522352).

The spelling of 132222302300121 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, three hundred two million, three hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 53 107 121 159 197 321 363 571 583 591 1177 1713 1749 2167 3531 5671 6281 6413 6501 10441 12947 17013 18843 19239 21079 23837 30263 31323 38841 61097 62381 63237 69091 71511 90789 112487 114851 183291 187143 207273 231869 326041 332893 337461 344553 672067 686191 695607 978123 998679 1117187 1237357 1263361 2016201 2058573 2550559 3238141 3351561 3586451 3661823 3712071 3790083 5961811 7392737 7651677 9714423 10759353 10985469 12036109 12289057 13610927 17280173 17885433 22178211 34886387 35619551 36108327 36867171 39450961 40832781 51840519 64230077 65579921 104659161 106858653 118352883 132397199 135179627 190081903 192690231 196739763 383750257 391815061 397191597 405538881 570245709 637913777 706530847 721379131 1151250771 1175445183 1456369189 1848978511 1913741331 2090900933 2119592541 2164137393 3404194081 4221252827 4369107567 5546935533 6272702799 6872618239 7017051547 7771839317 10212582243 12663758481 20338763621 20617854717 21051154641 23315517951 37446134891 61016290863 75598800629 77187567017 112338404673 223726399831 226796401887 231562701051 364248766667 411907483801 671179199493 831586806919 1092746300001 1235722451403 2494760420757 4006736433337 12020209300011 44074100766707 132222302300121