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23212111000320 = 2832511374950713
BaseRepresentation
bin1010100011100011111011…
…01000010111001100000000
310001012001111221000000202200
411101301331220113030000
511020301400404002240
6121211255132313200
74614006515025564
oct521617550271400
9101161457000680
1023212111000320
11743a223580790
12272a7b5012800
13cc4b7b290088
145a36878a96a4
152a3c00de8930
hex151c7da17300

23212111000320 has 432 divisors, whose sum is σ = 89980454727072. Its totient is φ = 5475091415040.

The previous prime is 23212111000303. The next prime is 23212111000321. The reversal of 23212111000320 is 2300011121232.

23212111000320 is a `hidden beast` number, since 2 + 32 + 1 + 211 + 100 + 0 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23212111000293 and 23212111000302.

It is not an unprimeable number, because it can be changed into a prime (23212111000321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2213284 + ... + 7163996.

It is an arithmetic number, because the mean of its divisors is an integer number (208288089646).

Almost surely, 223212111000320 is an apocalyptic number.

23212111000320 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 23212111000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44990227363536).

23212111000320 is an abundant number, since it is smaller than the sum of its proper divisors (66768343726752).

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

23212111000320 is a wasteful number, since it uses less digits than its factorization.

23212111000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950788 (or 4950771 counting only the distinct ones).

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

Adding to 23212111000320 its reverse (2300011121232), we get a palindrome (25512122121552).

The spelling of 23212111000320 in words is "twenty-three trillion, two hundred twelve billion, one hundred eleven million, three hundred twenty", and thus it is an aban number.