Search a number
-
+
132234303432231 = 327211213237210711
BaseRepresentation
bin11110000100010000110010…
…101011101110011000100111
3122100012110211222002201211100
4132010100302223232120213
5114313011323134312411
61145123333402411143
736565420211422200
oct3604206253563047
9570173758081740
10132234303432231
1139152286a45600
12129b7a88800ab3
1358a2844c52300
1424922629165a7
151044ab7335456
hex784432aee627

132234303432231 has 486 divisors, whose sum is σ = 271822623725016. Its totient is φ = 61689538310400.

The previous prime is 132234303432223. The next prime is 132234303432239.

132234303432231 is a `hidden beast` number, since 1 + 3 + 2 + 23 + 4 + 303 + 4 + 322 + 3 + 1 = 666.

132234303432231 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (132234303432223) and next prime (132234303432239).

It is not a de Polignac number, because 132234303432231 - 23 = 132234303432223 is a prime.

It is a super-2 number, since 2×1322343034322312 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132234303432239) 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 485 ways as a sum of consecutive naturals, for example, 12345648966 + ... + 12345659676.

Almost surely, 2132234303432231 is an apocalyptic number.

132234303432231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132234303432231 is an abundant number, since it is smaller than the sum of its proper divisors (139588320292785).

132234303432231 is a wasteful number, since it uses less digits than its factorization.

132234303432231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10782 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 13223430 and 3432231, that added together give a palindrome (16655661).

The spelling of 132234303432231 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, three hundred three million, four hundred thirty-two thousand, two hundred thirty-one".