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132311310121023 = 311419740111092267
BaseRepresentation
bin11110000101011000100000…
…101000111011100000111111
3122100110211121200202211210020
4132011120200220323200333
5114320242030342333043
61145222550551143223
736604114415450025
oct3605304050734077
9570424550684706
10132311310121023
1139181a0323a670
1212a0a99a074b13
1358a9b97ba5257
142495c89d0a715
151046ac2b31e83
hex785620a3b83f

132311310121023 has 128 divisors (see below), whose sum is σ = 199944142433280. Its totient is φ = 77129564160000.

The previous prime is 132311310120973. The next prime is 132311310121037. The reversal of 132311310121023 is 320121013113231.

It is not a de Polignac number, because 132311310121023 - 28 = 132311310120767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132311310120984 and 132311310121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132311310121063) 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 127 ways as a sum of consecutive naturals, for example, 58364052736 + ... + 58364055002.

It is an arithmetic number, because the mean of its divisors is an integer number (1562063612760).

Almost surely, 2132311310121023 is an apocalyptic number.

132311310121023 is a deficient number, since it is larger than the sum of its proper divisors (67632832312257).

132311310121023 is a wasteful number, since it uses less digits than its factorization.

132311310121023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132311310121023 its reverse (320121013113231), we get a palindrome (452432323234254).

The spelling of 132311310121023 in words is "one hundred thirty-two trillion, three hundred eleven billion, three hundred ten million, one hundred twenty-one thousand, twenty-three".

Divisors: 1 3 11 33 41 97 123 291 401 451 1067 1109 1203 1353 2267 3201 3327 3977 4411 6801 11931 12199 13233 16441 24937 36597 38897 43747 45469 49323 74811 92947 107573 116691 131241 136407 180851 219899 278841 322719 427867 444709 500159 542553 659697 909067 1022417 1183303 1283601 1334127 1500477 1594777 2418889 2514103 2727201 3067251 3549909 4410493 4784331 4891799 7256667 7542309 9015859 9999737 13231479 14675397 17542547 18233069 27047577 27655133 29999211 37271747 43136773 48515423 52627641 54699207 82965399 88179499 99174449 103078223 111815241 129410319 145546269 200563759 243867991 264538497 297523347 309234669 409989217 474504503 601691277 731603973 969974489 1008155303 1133860453 1229967651 1423513509 1768607693 2682547901 2909923467 3024465909 3401581359 3615359459 5305823079 8047643703 9998587631 10846078377 11089708333 19454684623 29995762893 33269124999 39768954049 41334367423 58364053869 97791064391 109984463941 119306862147 124003102269 293373193173 329953391823 454678041653 1075701708301 1364034124959 3227105124903 4009433640031 12028300920093 44103770040341 132311310121023