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230321120320011 = 3721915717313672221
BaseRepresentation
bin110100010111100111010000…
…100011111001101000001011
31010012111111001212212021012010
4310113213100203321220023
5220142040123300220021
62133504021215351003
766341103033500400
oct6427472043715013
91105444055767163
10230321120320011
1167429702a63726
12219b9939222463
139b6925b04b2b6
1440c385d1062a7
151b962aa7de976
hexd179d08f9a0b

230321120320011 has 192 divisors, whose sum is σ = 381066990289920. Its totient is φ = 123029287879680.

The previous prime is 230321120319949. The next prime is 230321120320013. The reversal of 230321120320011 is 110023021123032.

230321120320011 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230321120320011 - 227 = 230320986102283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 230321120320011.

It is not an unprimeable number, because it can be changed into a prime (230321120320013) 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, 103701538881 + ... + 103701541101.

It is an arithmetic number, because the mean of its divisors is an integer number (1984723907760).

Almost surely, 2230321120320011 is an apocalyptic number.

230321120320011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230321120320011 is a deficient number, since it is larger than the sum of its proper divisors (150745869969909).

230321120320011 is a wasteful number, since it uses less digits than its factorization.

230321120320011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 230321120320011 its reverse (110023021123032), we get a palindrome (340344141443043).

The spelling of 230321120320011 in words is "two hundred thirty trillion, three hundred twenty-one billion, one hundred twenty million, three hundred twenty thousand, eleven".