Search a number
-
+
132202311330 = 235173149916993
BaseRepresentation
bin111101100011111011…
…1110010111010100010
3110122020101222020211010
41323013313302322202
54131222242430310
6140422150201350
712360045051045
oct1730767627242
9418211866733
10132202311330
1151080838241
1221756353256
13c60b23522b
146581b88c5c
15368b38a320
hex1ec7df2ea2

132202311330 has 64 divisors (see below), whose sum is σ = 319351248000. Its totient is φ = 35024726016.

The previous prime is 132202311313. The next prime is 132202311343. The reversal of 132202311330 is 33113202231.

132202311330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1322023113302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132202311297 and 132202311306.

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 31 ways as a sum of consecutive naturals, for example, 7771314 + ... + 7788306.

It is an arithmetic number, because the mean of its divisors is an integer number (4989863250).

Almost surely, 2132202311330 is an apocalyptic number.

132202311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132202311330 is an abundant number, since it is smaller than the sum of its proper divisors (187148936670).

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

132202311330 is a wasteful number, since it uses less digits than its factorization.

132202311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18675.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132202311330 its reverse (33113202231), we get a palindrome (165315513561).

The spelling of 132202311330 in words is "one hundred thirty-two billion, two hundred two million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 173 346 519 865 1038 1499 1730 2595 2998 4497 5190 7495 8994 14990 16993 22485 33986 44970 50979 84965 101958 169930 254895 259327 509790 518654 777981 1296635 1555962 2593270 2939789 3889905 5879578 7779810 8819367 14698945 17638734 25472507 29397890 44096835 50945014 76417521 88193670 127362535 152835042 254725070 382087605 764175210 4406743711 8813487422 13220231133 22033718555 26440462266 44067437110 66101155665 132202311330