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2002011330 = 2351141914479
BaseRepresentation
bin111011101010100…
…0100010011000010
312011112010201020210
41313111010103002
513100003330310
6530354014550
7100416546504
oct16725042302
95145121223
102002011330
119380a0820
1247a577456
1325b9cc9b7
1414dc5dd74
15bab5d820
hex775444c2

2002011330 has 64 divisors (see below), whose sum is σ = 5254502400. Its totient is φ = 484144320.

The previous prime is 2002011313. The next prime is 2002011331. The reversal of 2002011330 is 331102002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2002011331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131031 + ... + 145509.

It is an arithmetic number, because the mean of its divisors is an integer number (82101600).

Almost surely, 22002011330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627251200).

2002011330 is an abundant number, since it is smaller than the sum of its proper divisors (3252491070).

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

2002011330 is a wasteful number, since it uses less digits than its factorization.

2002011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14919.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2002011330 is about 44743.8412521768. The cubic root of 2002011330 is about 1260.3432612263.

Adding to 2002011330 its reverse (331102002), we get a palindrome (2333113332).

The spelling of 2002011330 in words is "two billion, two million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 419 838 1257 2095 2514 4190 4609 6285 9218 12570 13827 14479 23045 27654 28958 43437 46090 69135 72395 86874 138270 144790 159269 217185 318538 434370 477807 796345 955614 1592690 2389035 4778070 6066701 12133402 18200103 30333505 36400206 60667010 66733711 91000515 133467422 182001030 200201133 333668555 400402266 667337110 1001005665 2002011330