Search a number
-
+
113098362601 = 7210724492
BaseRepresentation
bin110100101010100110…
…0000000111011101001
3101210221000112002211111
41221111030000323221
53323111140100401
6123542350230321
711112453135400
oct1512514007351
9353830462744
10113098362601
1143a68093864
1219b044b53a1
13a8853a0863
14568c8b2637
152e1e11ae51
hex1a55300ee9

113098362601 has 27 divisors (see below), whose sum is σ = 133100894199. Its totient is φ = 95821571328.

The previous prime is 113098362593. The next prime is 113098362607. The reversal of 113098362601 is 106263890311.

The square root of 113098362601 is 336301.

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

It can be written as a sum of positive squares in only one way, i.e., 69115884201 + 43982478400 = 262899^2 + 209720^2 .

It is not a de Polignac number, because 113098362601 - 23 = 113098362593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113098362607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 251889225 + ... + 251889673.

Almost surely, 2113098362601 is an apocalyptic number.

113098362601 is the 336301-st square number.

113098362601 is the 168151-st centered octagonal number.

It is an amenable number.

113098362601 is a deficient number, since it is larger than the sum of its proper divisors (20002531598).

113098362601 is an frugal number, since it uses more digits than its factorization.

113098362601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 113098362601 in words is "one hundred thirteen billion, ninety-eight million, three hundred sixty-two thousand, six hundred one".

Divisors: 1 7 49 107 449 749 3143 5243 11449 22001 48043 80143 201601 336301 561001 1411207 2354107 5140601 9878449 21571307 35984207 150999149 251889449 1056994043 2308129849 16156908943 113098362601