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231122320000 = 2754111389227
BaseRepresentation
bin1101011100111111110…
…1101011101010000000
3211002120022102100110221
43113033331223222000
512241314303220000
6254102013232424
722461266206555
oct3271775535200
9732508370427
10231122320000
118a022584920
1238962492714
1318a4407b340
14b2875d8a2c
15602a89261a
hex35cff6ba80

231122320000 has 640 divisors, whose sum is σ = 686558980800. Its totient is φ = 76369920000.

The previous prime is 231122319947. The next prime is 231122320001. The reversal of 231122320000 is 23221132.

231122320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (231122320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1018159887 + ... + 1018160113.

Almost surely, 2231122320000 is an apocalyptic number.

231122320000 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 231122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343279490400).

231122320000 is an abundant number, since it is smaller than the sum of its proper divisors (455436660800).

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

231122320000 is a wasteful number, since it uses less digits than its factorization.

231122320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 231122320000 its reverse (23221132), we get a palindrome (231145541132).

The spelling of 231122320000 in words is "two hundred thirty-one billion, one hundred twenty-two million, three hundred twenty thousand".