Search a number
-
+
2430013131 = 327132967049
BaseRepresentation
bin1001000011010111…
…0000111011001011
320021100111110100100
42100311300323023
514434040410011
61041043340443
7114134525250
oct22065607313
96240443310
102430013131
111037751917
12579981723
132c95968c0
14190a33427
15e3503d56
hex90d70ecb

2430013131 has 24 divisors (see below), whose sum is σ = 4320024800. Its totient is φ = 1281764736.

The previous prime is 2430013111. The next prime is 2430013171. The reversal of 2430013131 is 1313100342.

2430013131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2430013131 - 26 = 2430013067 is a prime.

It is a super-3 number, since 3×24300131313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2430013111) 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, 1482706 + ... + 1484343.

Almost surely, 22430013131 is an apocalyptic number.

2430013131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2430013131 is a deficient number, since it is larger than the sum of its proper divisors (1890011669).

2430013131 is a wasteful number, since it uses less digits than its factorization.

2430013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967075 (or 2967072 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2430013131 is about 49295.1633631536. The cubic root of 2430013131 is about 1344.4238455811.

Adding to 2430013131 its reverse (1313100342), we get a palindrome (3743113473).

The spelling of 2430013131 in words is "two billion, four hundred thirty million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 2967049 8901147 20769343 26703441 38571637 62308029 115714911 186924087 270001459 347144733 810004377 2430013131