Search a number
-
+
1113012100 = 2252176110733
BaseRepresentation
bin100001001010111…
…0011011110000100
32212120022212120101
41002111303132010
54234412341400
6302235413444
736403306144
oct10225633604
92776285511
101113012100
115212a2512
122708b4284
13149788555
14a7b68924
1567aa656a
hex42573784

1113012100 has 72 divisors (see below), whose sum is σ = 2599474248. Its totient is φ = 412108800.

The previous prime is 1113012097. The next prime is 1113012157. The reversal of 1113012100 is 12103111.

It can be written as a sum of positive squares in 12 ways, for example, as 723502404 + 389509696 = 26898^2 + 19736^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 98334 + ... + 109066.

It is an arithmetic number, because the mean of its divisors is an integer number (36103809).

Almost surely, 21113012100 is an apocalyptic number.

1113012100 is a gapful number since it is divisible by the number (10) 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 1113012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299737124).

1113012100 is an abundant number, since it is smaller than the sum of its proper divisors (1486462148).

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

1113012100 is a wasteful number, since it uses less digits than its factorization.

1113012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10818 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1113012100 is about 33361.8359806531. The cubic root of 1113012100 is about 1036.3345135543.

Adding to 1113012100 its reverse (12103111), we get a palindrome (1125115211).

The spelling of 1113012100 in words is "one billion, one hundred thirteen million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 10733 20740 21466 25925 42932 51850 53665 103700 107330 182461 214660 268325 364922 536650 654713 729844 912305 1073300 1309426 1824610 2618852 3273565 3649220 4561525 6547130 9123050 11130121 13094260 16367825 18246100 22260242 32735650 44520484 55650605 65471300 111301210 222602420 278253025 556506050 1113012100