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230334131100 = 2235243103229757
BaseRepresentation
bin1101011010000011111…
…0111110101110011100
3211000112101022012120110
43112200332332232130
512233211014143400
6253451455450020
722432615545003
oct3264076765634
9730471265513
10230334131100
1189758680937
1238782526910
13189499a2488
14b210a65c3a
155ed159ee50
hex35a0fbeb9c

230334131100 has 288 divisors, whose sum is σ = 692472901120. Its totient is φ = 59073960960.

The previous prime is 230334131099. The next prime is 230334131113. The reversal of 230334131100 is 1131433032.

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 95 ways as a sum of consecutive naturals, for example, 304271922 + ... + 304272678.

Almost surely, 2230334131100 is an apocalyptic number.

230334131100 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 230334131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346236450560).

230334131100 is an abundant number, since it is smaller than the sum of its proper divisors (462138770020).

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

230334131100 is a wasteful number, since it uses less digits than its factorization.

230334131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230334131100 its reverse (1131433032), we get a palindrome (231465564132).

The spelling of 230334131100 in words is "two hundred thirty billion, three hundred thirty-four million, one hundred thirty-one thousand, one hundred".