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42002231112 = 233210719927397
BaseRepresentation
bin100111000111100001…
…110010111101001000
311000102012121102020100
4213013201302331020
51142010032343422
631143501325400
73014566034202
oct470741627510
9130365542210
1042002231112
11168a41899a6
128182566860
133c64b2b2ba
142066487772
15115c68a7ac
hex9c7872f48

42002231112 has 96 divisors (see below), whose sum is σ = 115400376000. Its totient is φ = 13799693952.

The previous prime is 42002231107. The next prime is 42002231123. The reversal of 42002231112 is 21113220024.

It is a happy number.

42002231112 is a `hidden beast` number, since 420 + 0 + 2 + 231 + 1 + 12 = 666.

42002231112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1519398 + ... + 1546794.

It is an arithmetic number, because the mean of its divisors is an integer number (1202087250).

Almost surely, 242002231112 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 42002231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57700188000).

42002231112 is an abundant number, since it is smaller than the sum of its proper divisors (73398144888).

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

42002231112 is a wasteful number, since it uses less digits than its factorization.

42002231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27715 (or 27708 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42002231112 its reverse (21113220024), we get a palindrome (63115451136).

The spelling of 42002231112 in words is "forty-two billion, two million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 199 214 321 398 428 597 642 796 856 963 1194 1284 1592 1791 1926 2388 2568 3582 3852 4776 7164 7704 14328 21293 27397 42586 54794 63879 82191 85172 109588 127758 164382 170344 191637 219176 246573 255516 328764 383274 493146 511032 657528 766548 986292 1533096 1972584 2931479 5452003 5862958 8794437 10904006 11725916 16356009 17588874 21808012 23451832 26383311 32712018 35177748 43616024 49068027 52766622 65424036 70355496 98136054 105533244 130848072 196272108 211066488 392544216 583364321 1166728642 1750092963 2333457284 3500185926 4666914568 5250278889 7000371852 10500557778 14000743704 21001115556 42002231112