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230101212000 = 25353112237817
BaseRepresentation
bin1101011001001100011…
…0011101101101100000
3210222221011000200122010
43112103012131231200
512232221402241000
6253412415312520
722424060013402
oct3262306355540
9728834020563
10230101212000
1189649154310
123871851b740
131891066061a
14b1cbb54b72
155ebade1d50
hex359319db60

230101212000 has 384 divisors, whose sum is σ = 826133188608. Its totient is φ = 55524864000.

The previous prime is 230101211999. The next prime is 230101212091. The reversal of 230101212000 is 212101032.

230101212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29432092 + ... + 29439908.

It is an arithmetic number, because the mean of its divisors is an integer number (2151388512).

Almost surely, 2230101212000 is an apocalyptic number.

230101212000 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 230101212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413066594304).

230101212000 is an abundant number, since it is smaller than the sum of its proper divisors (596031976608).

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

230101212000 is a wasteful number, since it uses less digits than its factorization.

230101212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 230101212000 its reverse (212101032), we get a palindrome (230313313032).

The spelling of 230101212000 in words is "two hundred thirty billion, one hundred one million, two hundred twelve thousand".