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230132101320 = 2333511137141397
BaseRepresentation
bin1101011001010011110…
…0010011000011001000
3211000000022011000211000
43112110330103003020
512232302304220240
6253415441335000
722424613404622
oct3262474230310
9730008130730
10230132101320
1189664631980
1238726937460
1318916b87324
14b1d1cb5c12
155ebd994430
hex3594f130c8

230132101320 has 256 divisors, whose sum is σ = 842958316800. Its totient is φ = 55381985280.

The previous prime is 230132101261. The next prime is 230132101337. The reversal of 230132101320 is 23101231032.

230132101320 is a `hidden beast` number, since 2 + 301 + 32 + 10 + 1 + 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 = 230132101293 and 230132101302.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1556862 + ... + 1698258.

It is an arithmetic number, because the mean of its divisors is an integer number (3292805925).

Almost surely, 2230132101320 is an apocalyptic number.

230132101320 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 230132101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421479158400).

230132101320 is an abundant number, since it is smaller than the sum of its proper divisors (612826215480).

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

230132101320 is a wasteful number, since it uses less digits than its factorization.

230132101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141565 (or 141555 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230132101320 its reverse (23101231032), we get a palindrome (253233332352).

The spelling of 230132101320 in words is "two hundred thirty billion, one hundred thirty-two million, one hundred one thousand, three hundred twenty".