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230023102320 = 243351147205981
BaseRepresentation
bin1101011000111001110…
…0011111111101110000
3210222201201001022022000
43112032130133331300
512232041403233240
6253400545214000
722422121052364
oct3261634377560
9728651038260
10230023102320
1189609054360
12386b6331300
13188ca41278b
14b1c16212a4
155eb4113430
hex358e71ff70

230023102320 has 320 divisors, whose sum is σ = 882723502080. Its totient is φ = 54576460800.

The previous prime is 230023102307. The next prime is 230023102363. The reversal of 230023102320 is 23201320032.

It is a happy number.

230023102320 is a `hidden beast` number, since 2 + 30 + 0 + 2 + 310 + 2 + 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 = 230023102293 and 230023102302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1013730 + ... + 1219710.

It is an arithmetic number, because the mean of its divisors is an integer number (2758510944).

Almost surely, 2230023102320 is an apocalyptic number.

230023102320 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 230023102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441361751040).

230023102320 is an abundant number, since it is smaller than the sum of its proper divisors (652700399760).

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

230023102320 is a wasteful number, since it uses less digits than its factorization.

230023102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206061 (or 206049 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230023102320 its reverse (23201320032), we get a palindrome (253224422352).

The spelling of 230023102320 in words is "two hundred thirty billion, twenty-three million, one hundred two thousand, three hundred twenty".