Search a number
-
+
129887439201 = 3213292412
BaseRepresentation
bin111100011110111100…
…1010000100101100001
3110102021002010120020100
41320331321100211201
54112002141023301
6135400334333013
712245506005522
oct1707571204541
9412232116210
10129887439201
11500a3089583
122120b05a169
13c32c783a00
146402568849
1535a302c286
hex1e3de50961

129887439201 has 27 divisors (see below), whose sum is σ = 203179263417. Its totient is φ = 79922082240.

The previous prime is 129887439193. The next prime is 129887439223. The reversal of 129887439201 is 102934788921.

The square root of 129887439201 is 360399.

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

129887439201 is a `hidden beast` number, since 129 + 8 + 87 + 439 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10671923025 + 119215516176 = 103305^2 + 345276^2 .

It is not a de Polignac number, because 129887439201 - 23 = 129887439193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (129887439001) 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 26 ways as a sum of consecutive naturals, for example, 14050941 + ... + 14060181.

Almost surely, 2129887439201 is an apocalyptic number.

129887439201 is the 360399-th square number.

129887439201 is the 180200-th centered octagonal number.

It is an amenable number.

129887439201 is a deficient number, since it is larger than the sum of its proper divisors (73291824216).

129887439201 is an frugal number, since it uses more digits than its factorization.

129887439201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18514 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 129887439201 in words is "one hundred twenty-nine billion, eight hundred eighty-seven million, four hundred thirty-nine thousand, two hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 9241 27723 83169 120133 360399 1081197 1561729 4685187 14055561 85396081 256188243 768564729 1110149053 3330447159 9991341477 14431937689 43295813067 129887439201