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2001331102232 = 2371112725582001
BaseRepresentation
bin11101000111111000101…
…000010010001000011000
321002022210012112211221202
4131013320220102020120
5230242211230232412
64131222051053332
7264406564454420
oct35077050221030
97068705484852
102001331102232
1170183a261680
12283a558a1248
1311695626bc27
146cc17589480
15370d4cb33c2
hex1d1f8a12218

2001331102232 has 64 divisors (see below), whose sum is σ = 4715274608640. Its totient is φ = 773599680000.

The previous prime is 2001331102219. The next prime is 2001331102247. The reversal of 2001331102232 is 2322011331002.

It is a super-2 number, since 2×20013311022322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12712769 + ... + 12869232.

It is an arithmetic number, because the mean of its divisors is an integer number (73676165760).

Almost surely, 22001331102232 is an apocalyptic number.

2001331102232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2001331102232 is an abundant number, since it is smaller than the sum of its proper divisors (2713943506408).

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

2001331102232 is a wasteful number, since it uses less digits than its factorization.

2001331102232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25582152 (or 25582148 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2001331102232 its reverse (2322011331002), we get a palindrome (4323342433234).

The spelling of 2001331102232 in words is "two trillion, one billion, three hundred thirty-one million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 127 154 254 308 508 616 889 1016 1397 1778 2794 3556 5588 7112 9779 11176 19558 39116 78232 25582001 51164002 102328004 179074007 204656008 281402011 358148014 562804022 716296028 1125608044 1432592056 1969814077 2251216088 3248914127 3939628154 6497828254 7879256308 12995656508 15758512616 22742398889 25991313016 35738055397 45484797778 71476110794 90969595556 142952221588 181939191112 250166387779 285904443176 500332775558 1000665551116 2001331102232