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230102023200 = 253527193719483
BaseRepresentation
bin1101011001001100100…
…1100011110000100000
3210222221012112220101120
43112103021203300200
512232222104220300
6253412444532240
722424066632410
oct3262311436040
9728835486346
10230102023200
1189649658825
1238718851080
131891088591a
14b1cbcc6640
155ebb0023a0
hex3593263c20

230102023200 has 576 divisors, whose sum is σ = 925430768640. Its totient is φ = 48477450240.

The previous prime is 230102023189. The next prime is 230102023211. The reversal of 230102023200 is 2320201032.

It is an interprime number because it is at equal distance from previous prime (230102023189) and next prime (230102023211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230102023200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11800659 + ... + 11820141.

It is an arithmetic number, because the mean of its divisors is an integer number (1606650640).

Almost surely, 2230102023200 is an apocalyptic number.

230102023200 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 230102023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462715384320).

230102023200 is an abundant number, since it is smaller than the sum of its proper divisors (695328745440).

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

230102023200 is a wasteful number, since it uses less digits than its factorization.

230102023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19569 (or 19556 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230102023200 its reverse (2320201032), we get a palindrome (232422224232).

The spelling of 230102023200 in words is "two hundred thirty billion, one hundred two million, twenty-three thousand, two hundred".