Search a number
-
+
5110112100 = 2235222974383
BaseRepresentation
bin1001100001001011…
…00001111101100100
3111012010120120222010
410300211201331210
540431142041400
62203023234220
7240430144002
oct46045417544
914163516863
105110112100
112192585945
12ba7448970
13635902c92
14366965a72
151ed957450
hex130961f64

5110112100 has 72 divisors (see below), whose sum is σ = 14850021760. Its totient is φ = 1356727680.

The previous prime is 5110112087. The next prime is 5110112107. The reversal of 5110112100 is 12110115.

It is a super-2 number, since 2×51101121002 = 52226491349132820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (5110112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31509 + ... + 105891.

Almost surely, 25110112100 is an apocalyptic number.

5110112100 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 5110112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425010880).

5110112100 is an abundant number, since it is smaller than the sum of its proper divisors (9739909660).

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

5110112100 is a wasteful number, since it uses less digits than its factorization.

5110112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74629 (or 74622 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 5110112100 is about 71485.0480869951. The cubic root of 5110112100 is about 1722.4375143659.

Adding to 5110112100 its reverse (12110115), we get a palindrome (5122222215).

The spelling of 5110112100 in words is "five billion, one hundred ten million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 22900 34350 68700 74383 148766 223149 297532 371915 446298 743830 892596 1115745 1487660 1859575 2231490 3719150 4462980 5578725 7438300 11157450 17033707 22314900 34067414 51101121 68134828 85168535 102202242 170337070 204404484 255505605 340674140 425842675 511011210 851685350 1022022420 1277528025 1703370700 2555056050 5110112100