Search a number
-
+
5035405121 = 972535169
BaseRepresentation
bin1001011000010001…
…00010111101000001
3110222221000002020222
410230020202331001
540303030430441
62151354112425
7235532144255
oct45410427501
913887002228
105035405121
11215439a43a
12b8641b715
136232a6b76
1435aa7a265
151e70ebd4b
hex12c222f41

5035405121 has 6 divisors (see below), whose sum is σ = 5087861190. Its totient is φ = 4983484416.

The previous prime is 5035405103. The next prime is 5035405139. The reversal of 5035405121 is 1215045305.

It is an interprime number because it is at equal distance from previous prime (5035405103) and next prime (5035405139).

It can be written as a sum of positive squares in 3 ways, for example, as 83521 + 5035321600 = 289^2 + 70960^2 .

It is a de Polignac number, because none of the positive numbers 2k-5035405121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5035405021) 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 5 ways as a sum of consecutive naturals, for example, 258176 + ... + 276993.

It is an arithmetic number, because the mean of its divisors is an integer number (847976865).

Almost surely, 25035405121 is an apocalyptic number.

It is an amenable number.

5035405121 is a deficient number, since it is larger than the sum of its proper divisors (52456069).

5035405121 is an frugal number, since it uses more digits than its factorization.

5035405121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535363 (or 535266 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 5035405121 is about 70960.5885051695. The cubic root of 5035405121 is about 1714.0025843598.

The spelling of 5035405121 in words is "five billion, thirty-five million, four hundred five thousand, one hundred twenty-one".

Divisors: 1 97 9409 535169 51911393 5035405121