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2002330331 = 31475632441
BaseRepresentation
bin111011101011001…
…0010001011011011
312011112201220211122
41313112102023123
513100044032311
6530404515455
7100422345521
oct16726221333
95145656748
102002330331
11938299461
1247a6abb8b
1325bab1c61
1414dd04311
15babc30db
hex775922db

2002330331 has 16 divisors (see below), whose sum is σ = 2115514368. Its totient is φ = 1892366400.

The previous prime is 2002330313. The next prime is 2002330349. The reversal of 2002330331 is 1330332002.

It is an interprime number because it is at equal distance from previous prime (2002330313) and next prime (2002330349).

It is a cyclic number.

It is not a de Polignac number, because 2002330331 - 222 = 1998136027 is a prime.

It is a super-2 number, since 2×20023303312 = 8018653508885139122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002330361) 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, 819071 + ... + 821511.

It is an arithmetic number, because the mean of its divisors is an integer number (132219648).

Almost surely, 22002330331 is an apocalyptic number.

2002330331 is a deficient number, since it is larger than the sum of its proper divisors (113184037).

2002330331 is a wasteful number, since it uses less digits than its factorization.

2002330331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2002330331 is about 44747.4058577701. The cubic root of 2002330331 is about 1260.4101988109.

Adding to 2002330331 its reverse (1330332002), we get a palindrome (3332662333).

The spelling of 2002330331 in words is "two billion, two million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 31 47 563 1457 2441 17453 26461 75671 114727 820291 1374283 3556537 42602773 64591301 2002330331