Search a number
-
+
132100420421 = 3747552113759
BaseRepresentation
bin111101100000111001…
…1000111001101000101
3110121222022020122202202
41323001303013031011
54131020201423141
6140404110244245
712354400022024
oct1730163071505
9417868218682
10132100420421
1151029275082
12217281b6685
13c5c30abb58
1465724248bb
15368246049b
hex1ec1cc7345

132100420421 has 16 divisors (see below), whose sum is σ = 138592481280. Its totient is φ = 125763528960.

The previous prime is 132100420391. The next prime is 132100420451. The reversal of 132100420421 is 124024001231.

It is an interprime number because it is at equal distance from previous prime (132100420391) and next prime (132100420451).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132100420421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132100420393 and 132100420402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100420451) 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 15 ways as a sum of consecutive naturals, for example, 9594140 + ... + 9607898.

It is an arithmetic number, because the mean of its divisors is an integer number (8662030080).

Almost surely, 2132100420421 is an apocalyptic number.

It is an amenable number.

132100420421 is a deficient number, since it is larger than the sum of its proper divisors (6492060859).

132100420421 is a wasteful number, since it uses less digits than its factorization.

132100420421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19364.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132100420421 its reverse (124024001231), we get a palindrome (256124421652).

The spelling of 132100420421 in words is "one hundred thirty-two billion, one hundred million, four hundred twenty thousand, four hundred twenty-one".

Divisors: 1 37 47 1739 5521 13759 204277 259487 509083 646673 9601019 23926901 75963439 2810647243 3570281633 132100420421