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2001123201 = 3721110112253
BaseRepresentation
bin111011101000110…
…1011011110000001
312011110110120222010
41313101223132001
513044241420301
6530323003133
7100406160300
oct16721533601
95143416863
102001123201
11937644530
1247a2094a9
1325b77b68c
1414daac437
15baa355d6
hex7746b781

2001123201 has 48 divisors (see below), whose sum is σ = 3419748288. Its totient is φ = 1029168000.

The previous prime is 2001123197. The next prime is 2001123209. The reversal of 2001123201 is 1023211002.

It is not a de Polignac number, because 2001123201 - 22 = 2001123197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001123209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 157191 + ... + 169443.

It is an arithmetic number, because the mean of its divisors is an integer number (71244756).

Almost surely, 22001123201 is an apocalyptic number.

2001123201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001123201 is a deficient number, since it is larger than the sum of its proper divisors (1418625087).

2001123201 is a wasteful number, since it uses less digits than its factorization.

2001123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2001123201 is about 44733.9155563204. The cubic root of 2001123201 is about 1260.1568631866.

Adding to 2001123201 its reverse (1023211002), we get a palindrome (3024334203).

The spelling of 2001123201 in words is "two billion, one million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 11 21 33 49 77 101 147 231 303 539 707 1111 1617 2121 3333 4949 7777 12253 14847 23331 36759 54439 85771 134783 163317 257313 404349 600397 943481 1237553 1801191 2830443 3712659 6604367 8662871 13613083 19813101 25988613 40839249 60640097 95291581 181920291 285874743 667041067 2001123201