Search a number
-
+
132100213212 = 2232111641120327
BaseRepresentation
bin111101100000111001…
…0010100100111011100
3110121222021212010112100
41323001302110213130
54131020123310322
6140404102005100
712354365166642
oct1730162244734
9417867763470
10132100213212
1151029143430
1221728116790
13c5c3038746
1465723ad192
15368241ddac
hex1ec1c949dc

132100213212 has 72 divisors (see below), whose sum is σ = 364316464512. Its totient is φ = 40025959200.

The previous prime is 132100213211. The next prime is 132100213229. The reversal of 132100213212 is 212312001231.

132100213212 is a `hidden beast` number, since 1 + 321 + 0 + 0 + 21 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100213211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6488593 + ... + 6508919.

It is an arithmetic number, because the mean of its divisors is an integer number (5059950896).

Almost surely, 2132100213212 is an apocalyptic number.

132100213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132100213212 is an abundant number, since it is smaller than the sum of its proper divisors (232216251300).

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

132100213212 is a wasteful number, since it uses less digits than its factorization.

132100213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36759 (or 36754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132100213212 its reverse (212312001231), we get a palindrome (344412214443).

The spelling of 132100213212 in words is "one hundred thirty-two billion, one hundred million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 16411 20327 32822 40654 49233 60981 65644 81308 98466 121962 147699 180521 182943 196932 223597 243924 295398 361042 365886 447194 541563 590796 670791 722084 731772 894388 1083126 1341582 1624689 2012373 2166252 2683164 3249378 4024746 6498756 8049492 333586397 667172794 1000759191 1334345588 2001518382 3002277573 3669450367 4003036764 6004555146 7338900734 11008351101 12009110292 14677801468 22016702202 33025053303 44033404404 66050106606 132100213212