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230100000312 = 2337131713147309
BaseRepresentation
bin1101011001001100000…
…1110101111000111000
3210222221001202010111210
43112103001311320320
512232221100002222
6253412333323120
722424043505650
oct3262301657070
9728831663453
10230100000312
11896484a6a16
12387180364a0
1318910327c50
14b1cb91b360
155ebac52d0c
hex3593075e38

230100000312 has 256 divisors, whose sum is σ = 755385523200. Its totient is φ = 56678768640.

The previous prime is 230100000283. The next prime is 230100000313. The reversal of 230100000312 is 213000001032.

It is a happy number.

230100000312 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 not an unprimeable number, because it can be changed into a prime (230100000313) by changing a digit.

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, 4840114 + ... + 4887422.

It is an arithmetic number, because the mean of its divisors is an integer number (2950724700).

Almost surely, 2230100000312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230100000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377692761600).

230100000312 is an abundant number, since it is smaller than the sum of its proper divisors (525285522888).

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

230100000312 is a wasteful number, since it uses less digits than its factorization.

230100000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47486 (or 47482 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 230100000312 its reverse (213000001032), we get a palindrome (443100001344).

The spelling of 230100000312 in words is "two hundred thirty billion, one hundred million, three hundred twelve", and thus it is an aban number.