Search a number
-
+
5111420120 = 2353110140813
BaseRepresentation
bin1001100001010101…
…00001010011011000
3111012020001001020022
410300222201103120
540432010420440
62203111250012
7240444232322
oct46052412330
914166031208
105111420120
112193299654
12ba7979908
13635c70461
14366bc6612
151edb14cb5
hex130aa14d8

5111420120 has 64 divisors (see below), whose sum is σ = 11989520640. Its totient is φ = 1958976000.

The previous prime is 5111420099. The next prime is 5111420131. The reversal of 5111420120 is 210241115.

It is a super-2 number, since 2×51114201202 = 52253231286281628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104834 + ... + 145646.

It is an arithmetic number, because the mean of its divisors is an integer number (187336260).

Almost surely, 25111420120 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 5111420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994760320).

5111420120 is an abundant number, since it is smaller than the sum of its proper divisors (6878100520).

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

5111420120 is a wasteful number, since it uses less digits than its factorization.

5111420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40956 (or 40952 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 5111420120 is about 71494.1964078204. The cubic root of 5111420120 is about 1722.5844642090.

Adding to 5111420120 its reverse (210241115), we get a palindrome (5321661235).

The spelling of 5111420120 in words is "five billion, one hundred eleven million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 101 124 155 202 248 310 404 505 620 808 1010 1240 2020 3131 4040 6262 12524 15655 25048 31310 40813 62620 81626 125240 163252 204065 326504 408130 816260 1265203 1632520 2530406 4122113 5060812 6326015 8244226 10121624 12652030 16488452 20610565 25304060 32976904 41221130 50608120 82442260 127785503 164884520 255571006 511142012 638927515 1022284024 1277855030 2555710060 5111420120