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132521116541022 = 2321123713799119173
BaseRepresentation
bin11110001000011011111010…
…000100111010000001011110
3122101012220011110120021120100
4132020123322010322001132
5114332211221313303042
61145503205511001530
736625222543550556
oct3610337204720136
9571186143507510
10132521116541022
1139252987518300
1212a435919692a6
1358c38c2a647c1
1424a20b0560166
15104c2a1e7724c
hex7886fa13a05e

132521116541022 has 144 divisors (see below), whose sum is σ = 324160764127200. Its totient is φ = 39069405682560.

The previous prime is 132521116540997. The next prime is 132521116541029. The reversal of 132521116541022 is 220145611125231.

132521116541022 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 211 + 1 + 6 + 5 + 410 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132521116541029) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1111946628 + ... + 1112065800.

It is an arithmetic number, because the mean of its divisors is an integer number (2251116417550).

Almost surely, 2132521116541022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132521116541022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162080382063600).

132521116541022 is an abundant number, since it is smaller than the sum of its proper divisors (191639647586178).

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

132521116541022 is a wasteful number, since it uses less digits than its factorization.

132521116541022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133039 (or 133025 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 132521116541022 its reverse (220145611125231), we get a palindrome (352666727666253).

The spelling of 132521116541022 in words is "one hundred thirty-two trillion, five hundred twenty-one billion, one hundred sixteen million, five hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 2178 2442 3663 4477 7326 8954 13431 13799 26862 27598 40293 41397 80586 82794 119173 124191 151789 238346 248382 303578 357519 455367 510563 715038 910734 1021126 1072557 1310903 1366101 1531689 1669679 2145114 2621806 2732202 3063378 3339358 3932709 4409401 4595067 5009037 5616193 7865418 8818802 9190134 10018074 11232386 11798127 13228203 14419933 15027111 16848579 23596254 26456406 28839866 30054222 33697158 39684609 43259799 48503411 50545737 61778123 79369218 86519598 97006822 101091474 123556246 129779397 145510233 185334369 259558794 291020466 370668738 436530699 533537521 556003107 873061398 1067075042 1112006214 1600612563 1644468227 3201225126 3288936454 4801837689 4933404681 9603675378 9866809362 14800214043 18089150497 29600428086 36178300994 54267451491 60845324399 108534902982 121690648798 162802354473 182535973197 198980655467 325604708946 365071946394 397961310934 547607919591 596941966401 669298568389 1095215839182 1193883932802 1338597136778 1790825899203 2007895705167 3581651798406 4015791410334 6023687115501 7362284252279 12047374231002 14724568504558 22086852756837 44173705513674 66260558270511 132521116541022