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2431005101 = 7249612349
BaseRepresentation
bin1001000011100110…
…0011000110101101
320021102100212001222
42100321203012231
514434314130401
61041120513125
7114146126300
oct22071430655
96242325058
102431005101
11103826a128
1257a17b7a5
132c9853275
14190c10b37
15e364cc1b
hex90e631ad

2431005101 has 6 divisors (see below), whose sum is σ = 2827903950. Its totient is φ = 2083718616.

The previous prime is 2431005077. The next prime is 2431005133. The reversal of 2431005101 is 1015001342.

It can be written as a sum of positive squares in only one way, i.e., 1688388100 + 742617001 = 41090^2 + 27251^2 .

It is not a de Polignac number, because 2431005101 - 214 = 2430988717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2431005101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431005701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24806126 + ... + 24806223.

It is an arithmetic number, because the mean of its divisors is an integer number (471317325).

Almost surely, 22431005101 is an apocalyptic number.

It is an amenable number.

2431005101 is a deficient number, since it is larger than the sum of its proper divisors (396898849).

2431005101 is an equidigital number, since it uses as much as digits as its factorization.

2431005101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49612363 (or 49612356 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2431005101 is about 49305.2238713100. The cubic root of 2431005101 is about 1344.6067590912.

Adding to 2431005101 its reverse (1015001342), we get a palindrome (3446006443).

The spelling of 2431005101 in words is "two billion, four hundred thirty-one million, five thousand, one hundred one".

Divisors: 1 7 49 49612349 347286443 2431005101