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230110101000 = 2332531323233367
BaseRepresentation
bin1101011001001110100…
…0010111111000001000
3210222221202202022001100
43112103220113320020
512232231141213000
6253413334021400
722424225405013
oct3262350277010
9728852668040
10230110101000
118965317579a
123871b4a7860
13189124535a0
14b1ccdca37a
155ebba9aa00
hex3593a17e08

230110101000 has 768 divisors, whose sum is σ = 880161085440. Its totient is φ = 53800243200.

The previous prime is 230110100963. The next prime is 230110101019. The reversal of 230110101000 is 101011032.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 627002817 + ... + 627003183.

It is an arithmetic number, because the mean of its divisors is an integer number (1146043080).

Almost surely, 2230110101000 is an apocalyptic number.

230110101000 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 230110101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440080542720).

230110101000 is an abundant number, since it is smaller than the sum of its proper divisors (650050984440).

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

230110101000 is a wasteful number, since it uses less digits than its factorization.

230110101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 230110101000 its reverse (101011032), we get a palindrome (230211112032).

The spelling of 230110101000 in words is "two hundred thirty billion, one hundred ten million, one hundred one thousand".