Search a number
-
+
2001132021 = 372191263271
BaseRepresentation
bin111011101000110…
…1101100111110101
312011110111001001210
41313101231213311
513044242211041
6530323112033
7100406225100
oct16721554765
95143431053
102001132021
11937650119
1247a212619
1325b7826b5
1414dab1737
15baa38016
hex7746d9f5

2001132021 has 48 divisors (see below), whose sum is σ = 3143467008. Its totient is φ = 1129010400.

The previous prime is 2001132017. The next prime is 2001132031. The reversal of 2001132021 is 1202311002.

It is not a de Polignac number, because 2001132021 - 22 = 2001132017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001131988 and 2001132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001132031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7384116 + ... + 7384386.

It is an arithmetic number, because the mean of its divisors is an integer number (65488896).

Almost surely, 22001132021 is an apocalyptic number.

2001132021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001132021 is a deficient number, since it is larger than the sum of its proper divisors (1142334987).

2001132021 is a wasteful number, since it uses less digits than its factorization.

2001132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 735 counting only the distinct ones).

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

The square root of 2001132021 is about 44734.0141391313. The cubic root of 2001132021 is about 1260.1587145747.

Adding to 2001132021 its reverse (1202311002), we get a palindrome (3203443023).

The spelling of 2001132021 in words is "two billion, one million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 21 49 147 191 263 271 573 789 813 1337 1841 1897 4011 5523 5691 9359 12887 13279 28077 38661 39837 50233 51761 71273 150699 155283 213819 351631 362327 498911 1054893 1086981 1496733 2461417 2536289 3492377 7384251 7608867 10477131 13613143 40839429 95292001 285876003 667044007 2001132021