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11311104420 = 223257114318979
BaseRepresentation
bin10101000100011000…
…11100000110100100
31002012021211122021100
422202030130012210
5141131120320140
65110220120100
7550204541550
oct124214340644
932167748240
1011311104420
114884907190
122238096030
1310b35128c5
14794334860
15463043530
hex2a231c1a4

11311104420 has 288 divisors, whose sum is σ = 43773649920. Its totient is φ = 2295578880.

The previous prime is 11311104379. The next prime is 11311104437. The reversal of 11311104420 is 2440111311.

11311104420 is a `hidden beast` number, since 1 + 131 + 110 + 4 + 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 = 11311104393 and 11311104402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586491 + ... + 605469.

It is an arithmetic number, because the mean of its divisors is an integer number (151991840).

Almost surely, 211311104420 is an apocalyptic number.

11311104420 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 11311104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21886824960).

11311104420 is an abundant number, since it is smaller than the sum of its proper divisors (32462545500).

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

11311104420 is a wasteful number, since it uses less digits than its factorization.

11311104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19055 (or 19050 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11311104420 its reverse (2440111311), we get a palindrome (13751215731).

The spelling of 11311104420 in words is "eleven billion, three hundred eleven million, one hundred four thousand, four hundred twenty".