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2002323220331 = 717193132829367
BaseRepresentation
bin11101001000110011110…
…000111010011101101011
321002102100100101200010112
4131020303300322131223
5230301224221022311
64131504331404535
7264443302360130
oct35106360723553
97072310350115
102002323220331
117021a9291695
12284091bb374b
13116a83979665
146ccad244587
1537141e3928b
hex1d233c3a76b

2002323220331 has 32 divisors (see below), whose sum is σ = 2558654069760. Its totient is φ = 1525413067776.

The previous prime is 2002323220283. The next prime is 2002323220343. The reversal of 2002323220331 is 1330223232002.

It is not a de Polignac number, because 2002323220331 - 222 = 2002319026027 is a prime.

It is a super-3 number, since 3×20023232203313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002323220297 and 2002323220306.

It is not an unprimeable number, because it can be changed into a prime (2002323220361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706991 + ... + 2122376.

It is an arithmetic number, because the mean of its divisors is an integer number (79957939680).

Almost surely, 22002323220331 is an apocalyptic number.

2002323220331 is a deficient number, since it is larger than the sum of its proper divisors (556330849429).

2002323220331 is a wasteful number, since it uses less digits than its factorization.

2002323220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829723.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2002323220331 its reverse (1330223232002), we get a palindrome (3332546452333).

The spelling of 2002323220331 in words is "two trillion, two billion, three hundred twenty-three million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 7 17 19 119 133 313 323 2191 2261 5321 5947 37247 41629 101099 707693 2829367 19805569 48099239 53757973 336694673 376305811 885591871 913885541 6199143097 6397198787 15055061807 16826245549 105385432649 117783718843 286046174333 2002323220331