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2002320233120 = 255232953354007
BaseRepresentation
bin11101001000110011100…
…101100001001010100000
321002102100010202220110002
4131020303211201022200
5230301222434424440
64131504143355132
7264443235106064
oct35106345411240
97072303686402
102002320233120
117021a7631319
12284090bb2aa8
13116a83171a8c
146ccacaa7aa4
1537141a49115
hex1d2339612a0

2002320233120 has 192 divisors, whose sum is σ = 5202728133120. Its totient is φ = 725729292288.

The previous prime is 2002320233119. The next prime is 2002320233129. The reversal of 2002320233120 is 213320232002.

It is a super-2 number, since 2×20023202331202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002320233092 and 2002320233101.

It is not an unprimeable number, because it can be changed into a prime (2002320233129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5479157 + ... + 5833163.

It is an arithmetic number, because the mean of its divisors is an integer number (27097542360).

Almost surely, 22002320233120 is an apocalyptic number.

2002320233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002320233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601364066560).

2002320233120 is an abundant number, since it is smaller than the sum of its proper divisors (3200407900000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002320233120 is a wasteful number, since it uses less digits than its factorization.

2002320233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354127 (or 354119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2002320233120 its reverse (213320232002), we get a palindrome (2215640465122).

The spelling of 2002320233120 in words is "two trillion, two billion, three hundred twenty million, two hundred thirty-three thousand, one hundred twenty".