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2300133042 = 2321093972953
BaseRepresentation
bin1000100100011001…
…0011111010110010
312221022002212100200
42021012103322302
514202313224132
61020123500030
7110666544144
oct21106237262
95838085320
102300133042
11a80401aa9
12542387616
132a86c088c
1417b6a4c94
15d6dead7c
hex89193eb2

2300133042 has 48 divisors (see below), whose sum is σ = 5043718680. Its totient is φ = 757506816.

The previous prime is 2300133041. The next prime is 2300133089. The reversal of 2300133042 is 2403310032.

It can be written as a sum of positive squares in 4 ways, for example, as 2297380761 + 2752281 = 47931^2 + 1659^2 .

It is a super-2 number, since 2×23001330422 = 10581224021800347528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2300133041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777438 + ... + 780390.

Almost surely, 22300133042 is an apocalyptic number.

2300133042 is an abundant number, since it is smaller than the sum of its proper divisors (2743585638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2300133042 is a wasteful number, since it uses less digits than its factorization.

2300133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2300133042 is about 47959.7022718031. The cubic root of 2300133042 is about 1320.0315729363.

Adding to 2300133042 its reverse (2403310032), we get a palindrome (4703443074).

The spelling of 2300133042 in words is "two billion, three hundred million, one hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 109 218 327 397 654 794 981 1191 1962 2382 2953 3573 5906 7146 8859 17718 26577 43273 53154 86546 129819 259638 321877 389457 643754 778914 965631 1172341 1931262 2344682 2896893 3517023 5793786 7034046 10551069 21102138 127785169 255570338 383355507 766711014 1150066521 2300133042