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110442334002 = 237112133745181
BaseRepresentation
bin110011011011011100…
…0000100011100110010
3101120001220201212112220
41212312320010130302
53302141214142002
6122423030301510
710656602230650
oct1466670043462
9346056655486
10110442334002
1142924900200
12194a2ab7896
13a5510414c0
1454b9c47dd0
152d15d6e7bc
hex19b6e04732

110442334002 has 192 divisors, whose sum is σ = 306902168832. Its totient is φ = 25763443200.

The previous prime is 110442333949. The next prime is 110442334043. The reversal of 110442334002 is 200433244011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2421852 + ... + 2467032.

It is an arithmetic number, because the mean of its divisors is an integer number (1598448796).

Almost surely, 2110442334002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110442334002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153451084416).

110442334002 is an abundant number, since it is smaller than the sum of its proper divisors (196459834830).

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

110442334002 is a wasteful number, since it uses less digits than its factorization.

110442334002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45265 (or 45254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 110442334002 its reverse (200433244011), we get a palindrome (310875578013).

It can be divided in two parts, 110442 and 334002, that added together give a palindrome (444444).

The spelling of 110442334002 in words is "one hundred ten billion, four hundred forty-two million, three hundred thirty-four thousand, two".