Search a number
-
+
2003121020012 = 2271719932111509
BaseRepresentation
bin11101001001100011010…
…100010001110001101100
321002111101221121002112212
4131021203110101301230
5230304342440120022
64132115431145552
7264502130510540
oct35114324216154
97074357532485
102003121020012
1170257865a372
122842752152b8
13116b8003bb88
146cd47199a20
153718bec93e2
hex1d263511c6c

2003121020012 has 48 divisors (see below), whose sum is σ = 4244033747520. Its totient is φ = 807575795712.

The previous prime is 2003121019993. The next prime is 2003121020027. The reversal of 2003121020012 is 2100201213002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107087 + ... + 2004422.

It is an arithmetic number, because the mean of its divisors is an integer number (88417369740).

Almost surely, 22003121020012 is an apocalyptic number.

It is an amenable number.

2003121020012 is an abundant number, since it is smaller than the sum of its proper divisors (2240912727508).

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

2003121020012 is a wasteful number, since it uses less digits than its factorization.

2003121020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113530 (or 2113528 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2003121020012 its reverse (2100201213002), we get a palindrome (4103322233014).

The spelling of 2003121020012 in words is "two trillion, three billion, one hundred twenty-one million, twenty thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 1993 3986 7972 13951 27902 33881 55804 67762 135524 237167 474334 948668 2111509 4223018 8446036 14780563 29561126 35895653 59122252 71791306 143582612 251269571 502539142 1005078284 4208237437 8416474874 16832949748 29457662059 58915324118 71540036429 117830648236 143080072858 286160145716 500780255003 1001560510006 2003121020012