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132230111113122 = 231131101653979919
BaseRepresentation
bin11110000100001100111000…
…110011010010111110100010
3122100012002000210111212011020
4132010030320303102332202
5114312424231421104442
61145121401402430310
736565211264331411
oct3604147063227642
9570162023455136
10132230111113122
1139150525545170
12129b70b8802396
1358a2327535709
142491d85c1d478
15104491e2719ec
hex784338cd2fa2

132230111113122 has 128 divisors (see below), whose sum is σ = 301218063482880. Its totient is φ = 38334392160000.

The previous prime is 132230111113057. The next prime is 132230111113181. The reversal of 132230111113122 is 221311111032231.

It is a junction number, because it is equal to n+sod(n) for n = 132230111113092 and 132230111113101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134449879 + ... + 135429797.

It is an arithmetic number, because the mean of its divisors is an integer number (2353266120960).

Almost surely, 2132230111113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132230111113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150609031741440).

132230111113122 is an abundant number, since it is smaller than the sum of its proper divisors (168987952369758).

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

132230111113122 is a wasteful number, since it uses less digits than its factorization.

132230111113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980720.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 132230111113122 its reverse (221311111032231), we get a palindrome (353541222145353).

The spelling of 132230111113122 in words is "one hundred thirty-two trillion, two hundred thirty billion, one hundred eleven million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 186 202 303 341 606 653 682 1023 1111 1306 1959 2046 2222 3131 3333 3918 6262 6666 7183 9393 14366 18786 20243 21549 34441 40486 43098 60729 65953 68882 103323 121458 131906 197859 206646 222673 395718 445346 668019 725483 979919 1336038 1450966 1959838 2044543 2176449 2939757 4089086 4352898 5879514 6133629 10779109 12267258 21558218 22489973 30377489 32337327 44979946 60754978 64674654 67469919 91132467 98971819 134939838 182264934 197943638 296915457 334152379 593830914 639887107 668304758 1002457137 1088690009 1279774214 1919661321 2004914274 2177380018 3068126389 3266070027 3839322642 6136252778 6532140054 7038758177 9204379167 14077516354 18408758334 19836500317 21116274531 33749390279 39673000634 42232549062 59509500951 64628597807 67498780558 101248170837 119019001902 129257195614 193885793421 202496341674 218201503487 387771586842 436403006974 654604510461 710914575877 1309209020922 1421829151754 2003486532017 2132743727631 4006973064034 4265487455262 6010459596051 12020919192102 22038351852187 44076703704374 66115055556561 132230111113122