Search a number
-
+
5110435100 = 2252292696551
BaseRepresentation
bin1001100001001101…
…10000110100011100
3111012011012000001002
410300212300310130
540431232410400
62203034205432
7240432660461
oct46046606434
914164160032
105110435100
112192786591
12ba7583878
136359b6cc4
14366a0b668
151ed9bced5
hex1309b0d1c

5110435100 has 72 divisors (see below), whose sum is σ = 11516450400. Its totient is φ = 1966048000.

The previous prime is 5110435097. The next prime is 5110435189. The reversal of 5110435100 is 15340115.

It is a super-2 number, since 2×51104351002 = 52233093822624020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776825 + ... + 783375.

It is an arithmetic number, because the mean of its divisors is an integer number (159950700).

Almost surely, 25110435100 is an apocalyptic number.

5110435100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758225200).

5110435100 is an abundant number, since it is smaller than the sum of its proper divisors (6406015300).

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

5110435100 is a wasteful number, since it uses less digits than its factorization.

5110435100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 5110435100 is about 71487.3072649964. The cubic root of 5110435100 is about 1722.4738042153.

Adding to 5110435100 its reverse (15340115), we get a palindrome (5125775215).

The spelling of 5110435100 in words is "five billion, one hundred ten million, four hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 269 290 538 580 725 1076 1345 1450 2690 2900 5380 6551 6725 7801 13102 13450 15602 26204 26900 31204 32755 39005 65510 78010 131020 156020 163775 189979 195025 327550 379958 390050 655100 759916 780100 949895 1762219 1899790 3524438 3799580 4749475 7048876 8811095 9498950 17622190 18997900 35244380 44055475 51104351 88110950 102208702 176221900 204417404 255521755 511043510 1022087020 1277608775 2555217550 5110435100