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230320101000 = 23353119417417
BaseRepresentation
bin1101011010000000100…
…1011101011010001000
3211000111101220101220010
43112200021131122020
512233143421213000
6253450235031520
722432355361633
oct3264011353210
9730441811803
10230320101000
1189750768910
123877989b5a0
1318946acc442
14b20cc52c1a
155ed022cd50
hex35a025d688

230320101000 has 256 divisors, whose sum is σ = 784864753920. Its totient is φ = 55768320000.

The previous prime is 230320100981. The next prime is 230320101013. The reversal of 230320101000 is 101023032.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31049292 + ... + 31056708.

It is an arithmetic number, because the mean of its divisors is an integer number (3065877945).

Almost surely, 2230320101000 is an apocalyptic number.

230320101000 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 230320101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392432376960).

230320101000 is an abundant number, since it is smaller than the sum of its proper divisors (554544652920).

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

230320101000 is a wasteful number, since it uses less digits than its factorization.

230320101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8393 (or 8379 counting only the distinct ones).

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

Adding to 230320101000 its reverse (101023032), we get a palindrome (230421124032).

The spelling of 230320101000 in words is "two hundred thirty billion, three hundred twenty million, one hundred one thousand".