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112444242001 = 72132352114731
BaseRepresentation
bin110100010111000110…
…0101111100001010001
3101202020102200100001121
41220232030233201101
53320241211221001
6123353422202241
711060321200300
oct1505614574121
9352212610047
10112444242001
1143761930323
1219961423381
13a7aca06150
145629a7c437
152dd19ac6a1
hex1a2e32f851

112444242001 has 48 divisors (see below), whose sum is σ = 147280871808. Its totient is φ = 84929644800.

The previous prime is 112444241999. The next prime is 112444242011. The reversal of 112444242001 is 100242444211.

It is a happy number.

It is not a de Polignac number, because 112444242001 - 21 = 112444241999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112444242011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7625806 + ... + 7640536.

It is an arithmetic number, because the mean of its divisors is an integer number (3068351496).

Almost surely, 2112444242001 is an apocalyptic number.

It is an amenable number.

112444242001 is a deficient number, since it is larger than the sum of its proper divisors (34836629807).

112444242001 is a wasteful number, since it uses less digits than its factorization.

112444242001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15302 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 112444242001 its reverse (100242444211), we get a palindrome (212686686212).

The spelling of 112444242001 in words is "one hundred twelve billion, four hundred forty-four million, two hundred forty-two thousand, one".

Divisors: 1 7 13 23 49 91 161 299 521 637 1127 2093 3647 6773 11983 14651 14731 25529 47411 83881 103117 155779 191503 331877 338813 587167 721819 1090453 1340521 2371691 4404569 7633171 7674851 9383647 16601837 30831983 53723957 99773063 176521573 215823881 376067699 698411441 1235651011 2294780449 4888880087 8649557077 16063463143 112444242001