Search a number
-
+
11103314304 = 273412103167
BaseRepresentation
bin10100101011100111…
…10010000110000000
31001122210211210211010
422111303302012000
5140214422024204
65033434320520
7542102420505
oct122563620600
931583753733
1011103314304
114788593415
12219a589140
13107c45b884
147748c54ac
1544eb9ad89
hex295cf2180

11103314304 has 192 divisors, whose sum is σ = 30706341120. Its totient is φ = 3554365440.

The previous prime is 11103314269. The next prime is 11103314389. The reversal of 11103314304 is 40341330111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×111033143042 (a number of 21 digits) contains 22 as substring.

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, 66486829 + ... + 66486995.

It is an arithmetic number, because the mean of its divisors is an integer number (159928860).

Almost surely, 211103314304 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 11103314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353170560).

11103314304 is an abundant number, since it is smaller than the sum of its proper divisors (19603026816).

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

11103314304 is a wasteful number, since it uses less digits than its factorization.

11103314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11103314304 its reverse (40341330111), we get a palindrome (51444644415).

The spelling of 11103314304 in words is "eleven billion, one hundred three million, three hundred fourteen thousand, three hundred four".