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23191320600 = 2334527204509
BaseRepresentation
bin10101100110010011…
…110111100000011000
32012212020120011010000
4111212103313200120
5334443434224400
614353130253000
71450462654410
oct254623674030
965766504100
1023191320600
119920994468
1245b2887160
1322578c7a16
1411a0091640
1590b002600
hex5664f7818

23191320600 has 240 divisors, whose sum is σ = 92054041200. Its totient is φ = 5300847360.

The previous prime is 23191320589. The next prime is 23191320617. The reversal of 23191320600 is 602319132.

23191320600 is a `hidden beast` number, since 2 + 31 + 9 + 1 + 3 + 20 + 600 = 666.

It is a super-6 number, since 6×231913206006 (a number of 63 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 11146 + ... + 215654.

It is an arithmetic number, because the mean of its divisors is an integer number (383558505).

Almost surely, 223191320600 is an apocalyptic number.

23191320600 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 23191320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46027020600).

23191320600 is an abundant number, since it is smaller than the sum of its proper divisors (68862720600).

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

23191320600 is a wasteful number, since it uses less digits than its factorization.

23191320600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204544 (or 204526 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 23191320600 its reverse (602319132), we get a palindrome (23793639732).

The spelling of 23191320600 in words is "twenty-three billion, one hundred ninety-one million, three hundred twenty thousand, six hundred".