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23181338000 = 245311590669
BaseRepresentation
bin10101100101101101…
…110010010110010000
32012211112202222120002
4111211231302112100
5334433410304000
614352132305132
71450312056542
oct254555622620
965745688502
1023181338000
119916296387
1245ab4721a8
132255811062
14119ca13692
1590a1ce8d5
hex565b72590

23181338000 has 40 divisors (see below), whose sum is σ = 56052480120. Its totient is φ = 9272534400.

The previous prime is 23181337997. The next prime is 23181338021. The reversal of 23181338000 is 83318132.

It can be written as a sum of positive squares in 4 ways, for example, as 12845056 + 23168492944 = 3584^2 + 152212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5793335 + ... + 5797334.

It is an arithmetic number, because the mean of its divisors is an integer number (1401312003).

Almost surely, 223181338000 is an apocalyptic number.

23181338000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23181338000 is an abundant number, since it is smaller than the sum of its proper divisors (32871142120).

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

23181338000 is a wasteful number, since it uses less digits than its factorization.

23181338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11590692 (or 11590676 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 23181338000 in words is "twenty-three billion, one hundred eighty-one million, three hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11590669 23181338 46362676 57953345 92725352 115906690 185450704 231813380 289766725 463626760 579533450 927253520 1159066900 1448833625 2318133800 2897667250 4636267600 5795334500 11590669000 23181338000