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2002031200331 = 235910771136973
BaseRepresentation
bin11101001000100010010…
…110111100100001001011
321002101120222220111222222
4131020202112330201023
5230300124441402311
64131415340404255
7264433125264641
oct35104226744113
97071528814888
102002031200331
11702069468748
1228401024668b
13116a38313b66
146cc8254b191
15371264a4adb
hex1d2225bc84b

2002031200331 has 16 divisors (see below), whose sum is σ = 2124696856320. Its totient is φ = 1882340449440.

The previous prime is 2002031200327. The next prime is 2002031200369. The reversal of 2002031200331 is 1330021302002.

It is a cyclic number.

It is not a de Polignac number, because 2002031200331 - 22 = 2002031200327 is a prime.

It is a super-2 number, since 2×20020312003312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002031200321) by changing a digit.

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, 14547761 + ... + 14684733.

It is an arithmetic number, because the mean of its divisors is an integer number (132793553520).

Almost surely, 22002031200331 is an apocalyptic number.

2002031200331 is a deficient number, since it is larger than the sum of its proper divisors (122665655989).

2002031200331 is a wasteful number, since it uses less digits than its factorization.

2002031200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147826.

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

Adding to 2002031200331 its reverse (1330021302002), we get a palindrome (3332052502333).

The spelling of 2002031200331 in words is "two trillion, two billion, thirty-one million, two hundred thousand, three hundred thirty-one".

Divisors: 1 23 59 1357 10771 136973 247733 635489 3150379 8081407 14616247 185872361 1475336183 33932732209 87044834797 2002031200331