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110542142424 = 2337191131372237
BaseRepresentation
bin110011011110011010…
…0110011101111011000
3101120022212112122222010
41212330310303233120
53302342242024144
6122440553425520
710662223464420
oct1467464635730
9346285478863
10110542142424
11429761807aa
121951040b2a0
13a568918a3c
1454c91c9480
152d1e9d75b9
hex19bcd33bd8

110542142424 has 256 divisors, whose sum is σ = 337998873600. Its totient is φ = 29426761728.

The previous prime is 110542142423. The next prime is 110542142467. The reversal of 110542142424 is 424241245011.

It is a junction number, because it is equal to n+sod(n) for n = 110542142391 and 110542142400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110542142423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49414234 + ... + 49416470.

It is an arithmetic number, because the mean of its divisors is an integer number (1320308100).

Almost surely, 2110542142424 is an apocalyptic number.

110542142424 is a gapful number since it is divisible by the number (14) 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 110542142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168999436800).

110542142424 is an abundant number, since it is smaller than the sum of its proper divisors (227456731176).

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

110542142424 is a wasteful number, since it uses less digits than its factorization.

110542142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 110542142424 its reverse (424241245011), we get a palindrome (534783387435).

The spelling of 110542142424 in words is "one hundred ten billion, five hundred forty-two million, one hundred forty-two thousand, four hundred twenty-four".