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2300133031 = 71719328849
BaseRepresentation
bin1000100100011001…
…0011111010100111
312221022002212100021
42021012103322213
514202313224111
61020123500011
7110666544130
oct21106237247
95838085307
102300133031
11a80401a99
12542387607
132a86c0881
1417b6a4c87
15d6dead71
hex89193ea7

2300133031 has 8 divisors (see below), whose sum is σ = 2783354400. Its totient is φ = 1855569408.

The previous prime is 2300133013. The next prime is 2300133041. The reversal of 2300133031 is 1303310032.

2300133031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2300133031 - 27 = 2300132903 is a prime.

It is a super-3 number, since 3×23001330313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2300132996 and 2300133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300133001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9664306 + ... + 9664543.

It is an arithmetic number, because the mean of its divisors is an integer number (347919300).

Almost surely, 22300133031 is an apocalyptic number.

2300133031 is a deficient number, since it is larger than the sum of its proper divisors (483221369).

2300133031 is a wasteful number, since it uses less digits than its factorization.

2300133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19328873.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2300133031 is about 47959.7021571235. The cubic root of 2300133031 is about 1320.0315708320.

Adding to 2300133031 its reverse (1303310032), we get a palindrome (3603443063).

The spelling of 2300133031 in words is "two billion, three hundred million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 7 17 119 19328849 135301943 328590433 2300133031