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2104332129 = 3616992
BaseRepresentation
bin111110101101101…
…1000111101100001
312102122200011000000
41331123120331201
513302202112004
6544451050213
7103101346044
oct17533307541
95378604000
102104332129
1198a927969
124a88a0969
13276c76953
1415d696c5b
15c4b20c39
hex7d6d8f61

2104332129 has 21 divisors (see below), whose sum is σ = 3156912993. Its totient is φ = 1402062372.

The previous prime is 2104332107. The next prime is 2104332149. The reversal of 2104332129 is 9212334012.

It is a happy number.

The square root of 2104332129 is 45873.

It is a perfect power (a square), and thus also a powerful number.

2104332129 is a `hidden beast` number, since 2 + 10 + 433 + 212 + 9 = 666.

It is not a de Polignac number, because 2104332129 - 27 = 2104332001 is a prime.

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 (2104332149) 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 20 ways as a sum of consecutive naturals, for example, 1237722 + ... + 1239420.

Almost surely, 22104332129 is an apocalyptic number.

2104332129 is the 45873-rd square number.

2104332129 is the 22937-th centered octagonal number.

It is an amenable number.

2104332129 is a deficient number, since it is larger than the sum of its proper divisors (1052580864).

2104332129 is an frugal number, since it uses more digits than its factorization.

2104332129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 2104332129 is about 1281.4591370083.

The spelling of 2104332129 in words is "two billion, one hundred four million, three hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 1699 5097 15291 45873 137619 412857 1238571 2886601 8659803 25979409 77938227 233814681 701444043 2104332129