Search a number
-
+
13202699409 = 341727512
BaseRepresentation
bin11000100101111000…
…10011010010010001
31021002010012121210000
430102330103102101
5204014342340114
610022031400213
7645114044004
oct142274232221
937063177700
1013202699409
115665641529
122685683069
131325392893
148d365153b
15524140e09
hex312f13491

13202699409 has 45 divisors (see below), whose sum is σ = 20978879691. Its totient is φ = 8273016000.

The previous prime is 13202699371. The next prime is 13202699459. The reversal of 13202699409 is 90499620231.

It is a happy number.

The square root of 13202699409 is 114903.

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

13202699409 is a `hidden beast` number, since 132 + 0 + 26 + 99 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10278918225 + 2923781184 = 101385^2 + 54072^2 .

It is not a de Polignac number, because 13202699409 - 225 = 13169144977 is a prime.

It is a super-2 number, since 2×132026994092 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13202699459) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17579784 + ... + 17580534.

Almost surely, 213202699409 is an apocalyptic number.

13202699409 is the 114903-rd square number.

13202699409 is the 57452-nd centered octagonal number.

It is an amenable number.

13202699409 is a deficient number, since it is larger than the sum of its proper divisors (7776180282).

13202699409 is an frugal number, since it uses more digits than its factorization.

13202699409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13202699409 in words is "thirteen billion, two hundred two million, six hundred ninety-nine thousand, four hundred nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 751 867 1377 2253 2601 6759 7803 12767 20277 23409 38301 60831 114903 217039 344709 564001 651117 1034127 1692003 1953351 5076009 5860053 9588017 15228027 17580159 28764051 45684081 86292153 162996289 258876459 488988867 776629377 1466966601 4400899803 13202699409