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421110011124 = 22321119375328541
BaseRepresentation
bin1100010000011000001…
…11001101010011110100
31111020221212210001020200
412020030013031103310
523344413130323444
6521242201000500
742265333014645
oct6101407152364
91436855701220
10421110011124
11152656694190
1269744a83130
1330930c9059a
141654ba716cc
15ae49d26969
hex620c1cd4f4

421110011124 has 288 divisors, whose sum is σ = 1279129138560. Its totient is φ = 115402060800.

The previous prime is 421110011083. The next prime is 421110011129.

421110011124 is a `hidden beast` number, since 421 + 110 + 0 + 11 + 124 = 666.

421110011124 is nontrivially palindromic in base 10.

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 = 421110011097 and 421110011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421110011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14740294 + ... + 14768834.

It is an arithmetic number, because the mean of its divisors is an integer number (4441420620).

Almost surely, 2421110011124 is an apocalyptic number.

421110011124 is a gapful number since it is divisible by the number (44) 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 421110011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639564569280).

421110011124 is an abundant number, since it is smaller than the sum of its proper divisors (858019127436).

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

421110011124 is a wasteful number, since it uses less digits than its factorization.

421110011124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28671 (or 28666 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 4211100 and 11124, that added together give a palindrome (4222224).

The spelling of 421110011124 in words is "four hundred twenty-one billion, one hundred ten million, eleven thousand, one hundred twenty-four".