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11110431420 = 2235511613407
BaseRepresentation
bin10100101100011101…
…11011101010111100
31001200022020101200000
422112032323222330
5140223232301140
65034251034300
7542220052224
oct122616735274
931608211600
1011110431420
114791604630
1221a0a3b990
131080a8119a
14775819084
15450604a30
hex2963bbabc

11110431420 has 288 divisors, whose sum is σ = 38763518976. Its totient is φ = 2648505600.

The previous prime is 11110431407. The next prime is 11110431457. The reversal of 11110431420 is 2413401111.

11110431420 is a `hidden beast` number, since 111 + 104 + 31 + 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 = 11110431393 and 11110431402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3259357 + ... + 3262763.

It is an arithmetic number, because the mean of its divisors is an integer number (134595552).

Almost surely, 211110431420 is an apocalyptic number.

11110431420 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 11110431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381759488).

11110431420 is an abundant number, since it is smaller than the sum of its proper divisors (27653087556).

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

11110431420 is a wasteful number, since it uses less digits than its factorization.

11110431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3489 counting only the distinct ones).

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

Adding to 11110431420 its reverse (2413401111), we get a palindrome (13523832531).

The spelling of 11110431420 in words is "eleven billion, one hundred ten million, four hundred thirty-one thousand, four hundred twenty".