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2232013100320 = 255238938917519
BaseRepresentation
bin100000011110101110010…
…110010001010100100000
321220101012211102112022201
4200132232112101110200
5243032130323202240
64425212254542544
7320154236214043
oct40365626212440
97811184375281
102232013100320
11790656230093
123006b4807a54
1313262a02b753
147a05c4c4c5a
153d0d6b79d9a
hex207ae591520

2232013100320 has 192 divisors, whose sum is σ = 5578844544000. Its totient is φ = 842173505536.

The previous prime is 2232013100287. The next prime is 2232013100323. The reversal of 2232013100320 is 230013102322.

It is a super-3 number, since 3×22320131003203 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232013100323) 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, 127396521 + ... + 127414039.

It is an arithmetic number, because the mean of its divisors is an integer number (29056482000).

Almost surely, 22232013100320 is an apocalyptic number.

2232013100320 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 2232013100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789422272000).

2232013100320 is an abundant number, since it is smaller than the sum of its proper divisors (3346831443680).

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

2232013100320 is a wasteful number, since it uses less digits than its factorization.

2232013100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18035 (or 18027 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2232013100320 its reverse (230013102322), we get a palindrome (2462026202642).

The spelling of 2232013100320 in words is "two trillion, two hundred thirty-two billion, thirteen million, one hundred thousand, three hundred twenty".