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110442404420 = 22561110981629
BaseRepresentation
bin110011011011011100…
…0010101101001000100
3101120001220212110010222
41212312320111221010
53302141223420140
6122423032003512
710656602643155
oct1466670255104
9346056773128
10110442404420
11429249490a7
12194a2b30598
13a55106757a
1454b9c6592c
152d15d855b5
hex19b6e15a44

110442404420 has 48 divisors (see below), whose sum is σ = 235946617200. Its totient is φ = 43413035520.

The previous prime is 110442404411. The next prime is 110442404431. The reversal of 110442404420 is 24404244011.

110442404420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30841681924 + 79600722496 = 175618^2 + 282136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110442404420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312166 + ... + 1393794.

It is an arithmetic number, because the mean of its divisors is an integer number (4915554525).

Almost surely, 2110442404420 is an apocalyptic number.

110442404420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110442404420 is an abundant number, since it is smaller than the sum of its proper divisors (125504212780).

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

110442404420 is a wasteful number, since it uses less digits than its factorization.

110442404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82808 (or 82806 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 110442404420 its reverse (24404244011), we get a palindrome (134846648431).

The spelling of 110442404420 in words is "one hundred ten billion, four hundred forty-two million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1109 1220 2218 4436 5545 11090 22180 67649 81629 135298 163258 270596 326516 338245 408145 676490 816290 1352980 1632580 4979369 9958738 19917476 24896845 49793690 90526561 99587380 181053122 362106244 452632805 905265610 1810531220 5522120221 11044240442 22088480884 27610601105 55221202210 110442404420