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2002332131 = 177113712109
BaseRepresentation
bin111011101011001…
…0010100111100011
312011112202000022022
41313112102213203
513100044112011
6530404532055
7100422354002
oct16726224743
95145660268
102002332131
1193829a848
1247a6b102b
1325bab2a17
1414dd04c39
15babc38db
hex775929e3

2002332131 has 16 divisors (see below), whose sum is σ = 2165849280. Its totient is φ = 1844290560.

The previous prime is 2002332107. The next prime is 2002332133. The reversal of 2002332131 is 1312332002.

It is not a de Polignac number, because 2002332131 - 214 = 2002315747 is a prime.

It is a super-2 number, since 2×20023321312 = 8018667925670002322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002332133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159305 + ... + 171413.

It is an arithmetic number, because the mean of its divisors is an integer number (135365580).

Almost surely, 22002332131 is an apocalyptic number.

2002332131 is a deficient number, since it is larger than the sum of its proper divisors (163517149).

2002332131 is a wasteful number, since it uses less digits than its factorization.

2002332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2002332131 is about 44747.4259706634. The cubic root of 2002332131 is about 1260.4105764938.

Adding to 2002332131 its reverse (1312332002), we get a palindrome (3314664133).

The spelling of 2002332131 in words is "two billion, two million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 17 71 137 1207 2329 9727 12109 165359 205853 859739 1658933 14615563 28201861 117784243 2002332131