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5111430120 = 23325173722573
BaseRepresentation
bin1001100001010101…
…00011101111101000
3111012020001112221200
410300222203233220
540432011230440
62203111404200
7240444303426
oct46052435750
914166045850
105111430120
1121932a6115
12ba7983660
13635c74b84
14366bca116
151edb17c30
hex130aa3be8

5111430120 has 192 divisors, whose sum is σ = 18065520720. Its totient is φ = 1248141312.

The previous prime is 5111430101. The next prime is 5111430127. The reversal of 5111430120 is 210341115.

5111430120 is a `hidden beast` number, since 5 + 111 + 430 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2706704676 + 2404725444 = 52026^2 + 49038^2 .

It is a super-3 number, since 3×51114301203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5111430093 and 5111430102.

It is not an unprimeable number, because it can be changed into a prime (5111430127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215154 + ... + 237726.

Almost surely, 25111430120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5111430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032760360).

5111430120 is an abundant number, since it is smaller than the sum of its proper divisors (12954090600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5111430120 is a wasteful number, since it uses less digits than its factorization.

5111430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22644 (or 22637 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5111430120 is about 71494.2663435328. The cubic root of 5111430120 is about 1722.5855875650.

Adding to 5111430120 its reverse (210341115), we get a palindrome (5321771235).

The spelling of 5111430120 in words is "five billion, one hundred eleven million, four hundred thirty thousand, one hundred twenty".