Search a number
-
+
1102113120 = 25357173443
BaseRepresentation
bin100000110110000…
…1110100101100000
32211210211010222110
41001230032211200
54224120104440
6301210035320
736211543533
oct10154164540
92753733873
101102113120
11516128999
12269118b40
13147440754
14a652ca1a
1566b52080
hex41b0e960

1102113120 has 192 divisors, whose sum is σ = 3576835584. Its totient is φ = 285143040.

The previous prime is 1102113079. The next prime is 1102113167. The reversal of 1102113120 is 213112011.

It is a super-2 number, since 2×11021131202 = 2429306658552268800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102113096 and 1102113105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2487619 + ... + 2488061.

It is an arithmetic number, because the mean of its divisors is an integer number (18629352).

Almost surely, 21102113120 is an apocalyptic number.

1102113120 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 1102113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788417792).

1102113120 is an abundant number, since it is smaller than the sum of its proper divisors (2474722464).

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

1102113120 is a wasteful number, since it uses less digits than its factorization.

1102113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

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

The square root of 1102113120 is about 33198.0891016335. The cubic root of 1102113120 is about 1032.9407022605.

Adding to 1102113120 its reverse (213112011), we get a palindrome (1315225131).

The spelling of 1102113120 in words is "one billion, one hundred two million, one hundred thirteen thousand, one hundred twenty".