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2300132110212 = 22331719273137347
BaseRepresentation
bin100001011110001010100…
…011101010111110000100
322010220001011100202212000
4201132022203222332010
5300141132310011322
64520355513425300
7325115263230366
oct41361243527604
98126034322760
102300132110212
11807531680482
1231194570b230
13138b9486a0b1
147d481380d36
153ec720853ac
hex2178a8eaf84

2300132110212 has 576 divisors, whose sum is σ = 6824102826240. Its totient is φ = 667415199744.

The previous prime is 2300132110123. The next prime is 2300132110219. The reversal of 2300132110212 is 2120112310032.

2300132110212 is a `hidden beast` number, since 230 + 0 + 1 + 321 + 102 + 12 = 666.

It is a super-2 number, since 2×23001321102122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2300132110219) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6628622623 + ... + 6628622969.

It is an arithmetic number, because the mean of its divisors is an integer number (11847400740).

Almost surely, 22300132110212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300132110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412051413120).

2300132110212 is an abundant number, since it is smaller than the sum of its proper divisors (4523970716028).

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

2300132110212 is a wasteful number, since it uses less digits than its factorization.

2300132110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2300132110212 its reverse (2120112310032), we get a palindrome (4420244420244).

The spelling of 2300132110212 in words is "two trillion, three hundred billion, one hundred thirty-two million, one hundred ten thousand, two hundred twelve".