[go: up one dir, main page]

Search a number
-
+
2300133101 = 72383172127
BaseRepresentation
bin1000100100011001…
…0011111011101101
312221022002212102212
42021012103323231
514202313224401
61020123500205
7110666544260
oct21106237355
95838085385
102300133101
11a80402052
12542387665
132a86c0906
1417b6a4cd7
15d6deadbb
hex89193eed

2300133101 has 16 divisors (see below), whose sum is σ = 2776080384. Its totient is φ = 1863091824.

The previous prime is 2300133089. The next prime is 2300133107. The reversal of 2300133101 is 1013310032.

It is a cyclic number.

It is not a de Polignac number, because 2300133101 - 214 = 2300116717 is a prime.

It is a super-2 number, since 2×23001331012 = 10581224564631752402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300133107) 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 15 ways as a sum of consecutive naturals, for example, 72701 + ... + 99426.

It is an arithmetic number, because the mean of its divisors is an integer number (173505024).

Almost surely, 22300133101 is an apocalyptic number.

It is an amenable number.

2300133101 is a deficient number, since it is larger than the sum of its proper divisors (475947283).

2300133101 is a wasteful number, since it uses less digits than its factorization.

2300133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172240.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2300133101 is about 47959.7028869029. The cubic root of 2300133101 is about 1320.0315842228.

Adding to 2300133101 its reverse (1013310032), we get a palindrome (3313443133).

The spelling of 2300133101 in words is "two billion, three hundred million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 7 23 83 161 581 1909 13363 172127 1204889 3958921 14286541 27712447 100005787 328590443 2300133101