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2003144312 = 23131910110037
BaseRepresentation
bin111011101100101…
…1000111001111000
312011121021021102002
41313121120321320
513100301104222
6530434200132
7100432305611
oct16731307170
95147237362
102003144312
119387a4a74
1247aa23048
1325c0085c0
14150076c08
15bacd4392
hex77658e78

2003144312 has 64 divisors (see below), whose sum is σ = 4300279200. Its totient is φ = 867110400.

The previous prime is 2003144233. The next prime is 2003144383. The reversal of 2003144312 is 2134413002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194558 + ... + 204594.

Almost surely, 22003144312 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 2003144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150139600).

2003144312 is an abundant number, since it is smaller than the sum of its proper divisors (2297134888).

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

2003144312 is a wasteful number, since it uses less digits than its factorization.

2003144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2003144312 is about 44756.5002206383. The cubic root of 2003144312 is about 1260.5809683301.

Adding to 2003144312 its reverse (2134413002), we get a palindrome (4137557314).

The spelling of 2003144312 in words is "two billion, three million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 101 104 152 202 247 404 494 808 988 1313 1919 1976 2626 3838 5252 7676 10037 10504 15352 20074 24947 40148 49894 80296 99788 130481 190703 199576 260962 381406 521924 762812 1013737 1043848 1525624 2027474 2479139 4054948 4958278 8109896 9916556 13178581 19261003 19833112 26357162 38522006 52714324 77044012 105428648 154088024 250393039 500786078 1001572156 2003144312