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230013103320 = 23325711132371327
BaseRepresentation
bin1101011000110111011…
…0010110110011011000
3210222201000020022020200
43112031312112303120
512232031323301240
6253355551022200
722421640055650
oct3261566266330
9728630208220
10230013103320
1189603444a20
12386b2b0a960
13188c8321500
14b1c017b360
155eb32da930
hex358dd96cd8

230013103320 has 1152 divisors, whose sum is σ = 1037265315840. Its totient is φ = 42893660160.

The previous prime is 230013103303. The next prime is 230013103321. The reversal of 230013103320 is 23301310032.

230013103320 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 310 + 3 + 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 = 230013103293 and 230013103302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230013103321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 173332497 + ... + 173333823.

It is an arithmetic number, because the mean of its divisors is an integer number (900403920).

Almost surely, 2230013103320 is an apocalyptic number.

230013103320 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 230013103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518632657920).

230013103320 is an abundant number, since it is smaller than the sum of its proper divisors (807252212520).

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

230013103320 is a wasteful number, since it uses less digits than its factorization.

230013103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230013103320 its reverse (23301310032), we get a palindrome (253314413352).

It can be divided in two parts, 230013 and 103320, that added together give a palindrome (333333).

The spelling of 230013103320 in words is "two hundred thirty billion, thirteen million, one hundred three thousand, three hundred twenty".