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132335421333 = 3172323723583
BaseRepresentation
bin111101100111111001…
…1100100011110010101
3110122120200102221102020
41323033303210132111
54132010331440313
6140443303203353
712363252343623
oct1731763443625
9418520387366
10132335421333
1151139993805
1221792a46559
13c62c99c44b
146595718513
153697dd0323
hex1ecfce4795

132335421333 has 72 divisors (see below), whose sum is σ = 200779665408. Its totient is φ = 77255659008.

The previous prime is 132335421311. The next prime is 132335421431. The reversal of 132335421333 is 333124533231.

It is not a de Polignac number, because 132335421333 - 25 = 132335421301 is a prime.

It is a super-3 number, since 3×1323354213333 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132335421294 and 132335421303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132335421233) 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, 36932460 + ... + 36936042.

It is an arithmetic number, because the mean of its divisors is an integer number (2788606464).

Almost surely, 2132335421333 is an apocalyptic number.

It is an amenable number.

132335421333 is a deficient number, since it is larger than the sum of its proper divisors (68444244075).

132335421333 is a wasteful number, since it uses less digits than its factorization.

132335421333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3663 counting only the distinct ones).

The product of its digits is 58320, while the sum is 33.

Adding to 132335421333 its reverse (333124533231), we get a palindrome (465459954564).

The spelling of 132335421333 in words is "one hundred thirty-two billion, three hundred thirty-five million, four hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 17 23 37 51 69 111 391 529 629 851 1173 1369 1587 1887 2553 3583 4107 8993 10749 14467 19573 23273 26979 31487 43401 58719 60911 69819 82409 94461 132571 182733 247227 332741 397713 535279 724201 998223 1400953 1605837 1895407 2172603 2253707 3049133 4202859 4905127 5686221 6761121 9147399 12311417 14715381 32221919 36934251 51835261 70130059 83387159 96665757 112817921 155505783 210390177 250161477 338453763 1192211003 1917904657 2594812183 3576633009 5753713971 7784436549 44111807111 132335421333