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110420002532 = 227471137331013
BaseRepresentation
bin110011011010110001…
…0111000011011100100
3101120000100201022112102
41212311202320123210
53302120010040112
6122420511511232
710656211351430
oct1466542703344
9346010638472
10110420002532
1142913238244
1219497528518
13a549522b08
1454b6cb39c0
152d13e0cbc2
hex19b58b86e4

110420002532 has 96 divisors (see below), whose sum is σ = 228069983232. Its totient is φ = 45798230016.

The previous prime is 110420002531. The next prime is 110420002543. The reversal of 110420002532 is 235200024011.

It is a super-2 number, since 2×1104200025322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110420002531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109002458 + ... + 109003470.

It is an arithmetic number, because the mean of its divisors is an integer number (2375728992).

Almost surely, 2110420002532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110420002532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114034991616).

110420002532 is an abundant number, since it is smaller than the sum of its proper divisors (117649980700).

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

110420002532 is a wasteful number, since it uses less digits than its factorization.

110420002532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 110420002532 its reverse (235200024011), we get a palindrome (345620026543).

The spelling of 110420002532 in words is "one hundred ten billion, four hundred twenty million, two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 94 113 188 226 329 452 658 733 791 1013 1316 1466 1582 2026 2932 3164 4052 5131 5311 7091 10262 10622 14182 20524 21244 28364 34451 37177 47611 68902 74354 82829 95222 114469 137804 148708 165658 190444 228938 241157 331316 333277 457876 482314 579803 666554 742529 801283 964628 1159606 1333108 1485058 1602566 2319212 2970116 3205132 3892963 5197703 5380043 7785926 10395406 10760086 15571852 20790812 21520172 27250741 34898863 37660301 54501482 69797726 75320602 83905777 109002964 139595452 150641204 167811554 244292041 335623108 488584082 587340439 977168164 1174680878 2349361756 3943571519 7887143038 15774286076 27605000633 55210001266 110420002532