Search a number
-
+
11303130420 = 223656171179
BaseRepresentation
bin10101000011011100…
…00001010100110100
31002011201211112000000
422201232001110310
5141122100133140
65105333151300
7550050011001
oct124156012464
932151745000
1011303130420
1148803601aa
12223548b530
1310b198026a
1479325a8a8
154624baa30
hex2a1b81534

11303130420 has 336 divisors, whose sum is σ = 36886389120. Its totient is φ = 2906668800.

The previous prime is 11303130403. The next prime is 11303130427. The reversal of 11303130420 is 2403130311.

11303130420 is a `hidden beast` number, since 113 + 0 + 3 + 130 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11303130393 and 11303130402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303130427) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63145891 + ... + 63146069.

It is an arithmetic number, because the mean of its divisors is an integer number (109780920).

Almost surely, 211303130420 is an apocalyptic number.

11303130420 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 11303130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443194560).

11303130420 is an abundant number, since it is smaller than the sum of its proper divisors (25583258700).

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

11303130420 is a wasteful number, since it uses less digits than its factorization.

11303130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11303130420 its reverse (2403130311), we get a palindrome (13706260731).

The spelling of 11303130420 in words is "eleven billion, three hundred three million, one hundred thirty thousand, four hundred twenty".