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102332121021 = 3213273921637
BaseRepresentation
bin101111101001101111…
…0000011111110111101
3100210010200221100212100
41133103132003332331
53134034010333041
6115002152255313
710251612451104
oct1372336037675
9323120840770
10102332121021
113a4428a6149
12179ba9a1539
13985aa20100
144d4aa9103b
1529ddd536b6
hex17d3783fbd

102332121021 has 36 divisors (see below), whose sum is σ = 162250683348. Its totient is φ = 62110893312.

The previous prime is 102332121007. The next prime is 102332121029. The reversal of 102332121021 is 120121233201.

102332121021 is a `hidden beast` number, since 102 + 332 + 1 + 210 + 21 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13921640100 + 88410480921 = 117990^2 + 297339^2 .

It is not a de Polignac number, because 102332121021 - 219 = 102331596733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102332120985 and 102332121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102332121029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349786 + ... + 571851.

Almost surely, 2102332121021 is an apocalyptic number.

It is an amenable number.

102332121021 is a deficient number, since it is larger than the sum of its proper divisors (59918562327).

102332121021 is a wasteful number, since it uses less digits than its factorization.

102332121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921742 (or 921726 counting only the distinct ones).

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

Adding to 102332121021 its reverse (120121233201), we get a palindrome (222453354222).

The spelling of 102332121021 in words is "one hundred two billion, three hundred thirty-two million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 13 39 73 117 169 219 507 657 949 1521 2847 8541 12337 37011 111033 921637 2764911 8294733 11981281 35943843 67279501 107831529 155756653 201838503 467269959 605515509 874633513 1401809877 2623900539 7871701617 11370235669 34110707007 102332121021