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132212103133203 = 3329316712438773
BaseRepresentation
bin11110000011111100000111…
…011100010011100000010011
3122100010100112210022200202000
4132003330013130103200103
5114312130341400230303
61145105222433125043
736564003111122262
oct3603740734234023
9570110483280660
10132212103133203
1139143924502335
12129b37119b9783
1358a071776cbb2
1424911583165d9
15104421833dda3
hex783f07713813

132212103133203 has 16 divisors (see below), whose sum is σ = 196538279982240. Its totient is φ = 87840578185632.

The previous prime is 132212103133157. The next prime is 132212103133247. The reversal of 132212103133203 is 302331301212231.

132212103133203 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 21 + 0 + 313 + 320 + 3 = 666.

It is not a de Polignac number, because 132212103133203 - 212 = 132212103129107 is a prime.

It is a super-3 number, since 3×1322121031332033 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132212103153203) 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 15 ways as a sum of consecutive naturals, for example, 8356211476 + ... + 8356227297.

It is an arithmetic number, because the mean of its divisors is an integer number (12283642498890).

Almost surely, 2132212103133203 is an apocalyptic number.

132212103133203 is a deficient number, since it is larger than the sum of its proper divisors (64326176849037).

132212103133203 is a wasteful number, since it uses less digits than its factorization.

132212103133203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712439075 (or 16712439069 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132212103133203 its reverse (302331301212231), we get a palindrome (434543404345434).

The spelling of 132212103133203 in words is "one hundred thirty-two trillion, two hundred twelve billion, one hundred three million, one hundred thirty-three thousand, two hundred three".

Divisors: 1 3 9 27 293 879 2637 7911 16712438773 50137316319 150411948957 451235846871 4896744560489 14690233681467 44070701044401 132212103133203