Search a number
-
+
2303031213 = 327241127373
BaseRepresentation
bin1000100101000101…
…0111011110101101
312221111120002220100
42021101113132231
514204033444323
61020305541313
7111033304500
oct21121273655
95844502810
102303031213
11a8200148a
12543344839
132a9196a82
1417bc1b137
15d72be943
hex894577ad

2303031213 has 36 divisors (see below), whose sum is σ = 3964133628. Its totient is φ = 1283909760.

The previous prime is 2303031209. The next prime is 2303031217. The reversal of 2303031213 is 3121303032.

It is an interprime number because it is at equal distance from previous prime (2303031209) and next prime (2303031217).

It can be written as a sum of positive squares in 2 ways, for example, as 287200809 + 2015830404 = 16947^2 + 44898^2 .

It is not a de Polignac number, because 2303031213 - 22 = 2303031209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303031217) 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 35 ways as a sum of consecutive naturals, for example, 45606 + ... + 81767.

It is an arithmetic number, because the mean of its divisors is an integer number (110114823).

Almost surely, 22303031213 is an apocalyptic number.

It is an amenable number.

2303031213 is a deficient number, since it is larger than the sum of its proper divisors (1661102415).

2303031213 is a wasteful number, since it uses less digits than its factorization.

2303031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127434 (or 127424 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2303031213 is about 47989.9074077040. The cubic root of 2303031213 is about 1320.5857541498.

Adding to 2303031213 its reverse (3121303032), we get a palindrome (5424334245).

The spelling of 2303031213 in words is "two billion, three hundred three million, thirty-one thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 6027 18081 127373 382119 891611 1146357 2674833 5222293 6241277 8024499 15666879 18723831 36556051 47000637 56171493 109668153 255892357 329004459 767677071 2303031213