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132330102333 = 311132291018101
BaseRepresentation
bin111101100111101111…
…1010001111000111101
3110122120022102201010020
41323033133101320331
54132003001233313
6140442553202353
712363156211422
oct1731737217075
9418508381106
10132330102333
1151136990540
12217911003b9
13c62b859400
146594b31d49
1536976ce323
hex1ecf7d1e3d

132330102333 has 96 divisors (see below), whose sum is σ = 217773982080. Its totient is φ = 70761600000.

The previous prime is 132330102329. The next prime is 132330102379. The reversal of 132330102333 is 333201033231.

It is not a de Polignac number, because 132330102333 - 22 = 132330102329 is a prime.

It is a super-2 number, since 2×1323301023332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330102833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16330983 + ... + 16339083.

It is an arithmetic number, because the mean of its divisors is an integer number (2268478980).

Almost surely, 2132330102333 is an apocalyptic number.

132330102333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132330102333 is a deficient number, since it is larger than the sum of its proper divisors (85443879747).

132330102333 is a wasteful number, since it uses less digits than its factorization.

132330102333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 132330102333 its reverse (333201033231), we get a palindrome (465531135564).

The spelling of 132330102333 in words is "one hundred thirty-two billion, three hundred thirty million, one hundred two thousand, three hundred thirty-three".

Divisors: 1 3 11 13 29 33 39 87 101 143 169 303 319 377 429 507 957 1111 1131 1313 1859 2929 3333 3939 4147 4901 5577 8101 8787 12441 14443 14703 17069 24303 32219 38077 43329 51207 53911 89111 96657 105313 114231 161733 187759 234929 267333 315939 418847 495001 563277 704787 818201 1158443 1256541 1369069 1485003 2454603 2584219 3054077 3475329 4107207 5445011 7752657 9000211 9162231 10636613 15059759 16335033 23727829 27000633 31909839 33594847 39703001 45179277 71183487 100784541 117002743 119109003 138275969 261006119 308461777 351008229 414827907 436733011 783018357 925385331 1310199033 1521035659 3393079547 4010003101 4563106977 10179238641 12030009303 44110034111 132330102333