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2400130031 = 13657128097
BaseRepresentation
bin1000111100001111…
…0001001111101111
320012021021020102212
42033003301033233
514403413130111
61034055041035
7113322524435
oct21703611757
96167236385
102400130031
1110218a1242
1256b97017b
132c3332bb0
1418aa94d55
15e0a9e98b
hex8f0f13ef

2400130031 has 8 divisors (see below), whose sum is σ = 2585240784. Its totient is φ = 2215088640.

The previous prime is 2400130009. The next prime is 2400130039. The reversal of 2400130031 is 1300310042.

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

It is a cyclic number.

It is not a de Polignac number, because 2400130031 - 214 = 2400113647 is a prime.

It is a super-2 number, since 2×24001300312 = 11521248331416121922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2400129988 and 2400130015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400130039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71375 + ... + 99471.

It is an arithmetic number, because the mean of its divisors is an integer number (323155098).

Almost surely, 22400130031 is an apocalyptic number.

2400130031 is a deficient number, since it is larger than the sum of its proper divisors (185110753).

2400130031 is a wasteful number, since it uses less digits than its factorization.

2400130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34681.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2400130031 is about 48991.1219610247. The cubic root of 2400130031 is about 1338.8900794599.

Adding to 2400130031 its reverse (1300310042), we get a palindrome (3700440073).

The spelling of 2400130031 in words is "two billion, four hundred million, one hundred thirty thousand, thirty-one".

Divisors: 1 13 6571 28097 85423 365261 184625387 2400130031