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2001341200 = 245241122033
BaseRepresentation
bin111011101001010…
…0000101100010000
312011110212200000011
41313102200230100
513044320404300
6530331404304
7100411055665
oct16722405420
95143780004
102001341200
119377832a1
1247a2b3694
1325b826981
1414db27a6c
15baa79eba
hex774a0b10

2001341200 has 60 divisors (see below), whose sum is σ = 4925536308. Its totient is φ = 781004800.

The previous prime is 2001341189. The next prime is 2001341203. The reversal of 2001341200 is 21431002.

It can be written as a sum of positive squares in 6 ways, for example, as 172239376 + 1829101824 = 13124^2 + 42768^2 .

It is not an unprimeable number, because it can be changed into a prime (2001341203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44617 + ... + 77416.

Almost surely, 22001341200 is an apocalyptic number.

2001341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001341200 is an abundant number, since it is smaller than the sum of its proper divisors (2924195108).

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

2001341200 is a wasteful number, since it uses less digits than its factorization.

2001341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122092 (or 122081 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2001341200 is about 44736.3521087717. The cubic root of 2001341200 is about 1260.2026213157.

Adding to 2001341200 its reverse (21431002), we get a palindrome (2022772202).

The spelling of 2001341200 in words is "two billion, one million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 122033 244066 488132 610165 976264 1220330 1952528 2440660 3050825 4881320 5003353 6101650 9762640 10006706 12203300 20013412 24406600 25016765 40026824 48813200 50033530 80053648 100067060 125083825 200134120 250167650 400268240 500335300 1000670600 2001341200