[go: up one dir, main page]

Search a number
-
+
2300012100 = 2232522555569
BaseRepresentation
bin1000100100010111…
…0110011001000100
312221021212201110100
42021011312121010
514202300341400
61020121124100
7110665531431
oct21105663104
95837781410
102300012100
11a8032a151
12542329630
132a867a809
1417b672b88
15d6dc5100
hex89176644

2300012100 has 54 divisors (see below), whose sum is σ = 7209262970. Its totient is φ = 613336320.

The previous prime is 2300012053. The next prime is 2300012107. The reversal of 2300012100 is 12100032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 617796 + 2299394304 = 786^2 + 47952^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2300012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1276885 + ... + 1278684.

Almost surely, 22300012100 is an apocalyptic number.

2300012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300012100 is an abundant number, since it is smaller than the sum of its proper divisors (4909250870).

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

2300012100 is a wasteful number, since it uses less digits than its factorization.

2300012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555589 (or 2555579 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2300012100 is about 47958.4413841818. The cubic root of 2300012100 is about 1320.0084365852.

Adding to 2300012100 its reverse (12100032), we get a palindrome (2312112132).

The spelling of 2300012100 in words is "two billion, three hundred million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2555569 5111138 7666707 10222276 12777845 15333414 23000121 25555690 30666828 38333535 46000242 51111380 63889225 76667070 92000484 115000605 127778450 153334140 191667675 230001210 255556900 383335350 460002420 575003025 766670700 1150006050 2300012100