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112001141224 = 23722714612287
BaseRepresentation
bin110100001001111001…
…0011100100111101000
3101201002112220111001201
41220103302130213220
53313334243004344
6123241433053544
711043330664300
oct1502362344750
9351075814051
10112001141224
11435547a7135
1219858b572b4
13a73bc8383b
1455c6c98600
152da7b334d4
hex1a13c9c9e8

112001141224 has 96 divisors (see below), whose sum is σ = 245828943360. Its totient is φ = 47698761600.

The previous prime is 112001141207. The next prime is 112001141243. The reversal of 112001141224 is 422141100211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48971809 + ... + 48974095.

It is an arithmetic number, because the mean of its divisors is an integer number (2560718160).

Almost surely, 2112001141224 is an apocalyptic number.

112001141224 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 112001141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122914471680).

112001141224 is an abundant number, since it is smaller than the sum of its proper divisors (133827802136).

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

112001141224 is a wasteful number, since it uses less digits than its factorization.

112001141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 112001141224 its reverse (422141100211), we get a palindrome (534142241435).

The spelling of 112001141224 in words is "one hundred twelve billion, one million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 271 392 461 542 922 1084 1844 1897 2168 2287 3227 3688 3794 4574 6454 7588 9148 12908 13279 15176 16009 18296 22589 25816 26558 32018 45178 53116 64036 90356 106232 112063 124931 128072 180712 224126 249862 448252 499724 619777 874517 896504 999448 1054307 1239554 1749034 2108614 2479108 3498068 4217228 4338439 4958216 6121619 6996136 7380149 8434456 8676878 12243238 14760298 17353756 24486476 29520596 30369073 34707512 48972952 51661043 59041192 60738146 103322086 121476292 206644172 242952584 285717197 413288344 571434394 1142868788 2000020379 2285737576 4000040758 8000081516 14000142653 16000163032 28000285306 56000570612 112001141224