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21330123000 = 2335316014441
BaseRepresentation
bin10011110111010111…
…111101100011111000
32001001112101111222120
4103313113331203320
5322141002414000
613444322321240
71353403024344
oct236727754370
961045344876
1021330123000
11905633112a
1241734b9220
13201c12b874
141064c08624
1584c90b6a0
hex4f75fd8f8

21330123000 has 128 divisors (see below), whose sum is σ = 66606546240. Its totient is φ = 5683200000.

The previous prime is 21330122993. The next prime is 21330123029. The reversal of 21330123000 is 32103312.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 4800780 + ... + 4805220.

Almost surely, 221330123000 is an apocalyptic number.

21330123000 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 21330123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33303273120).

21330123000 is an abundant number, since it is smaller than the sum of its proper divisors (45276423240).

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

21330123000 is a wasteful number, since it uses less digits than its factorization.

21330123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21330123000 its reverse (32103312), we get a palindrome (21362226312).

The spelling of 21330123000 in words is "twenty-one billion, three hundred thirty million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1601 3000 3202 4441 4803 6404 8005 8882 9606 12808 13323 16010 17764 19212 22205 24015 26646 32020 35528 38424 40025 44410 48030 53292 64040 66615 80050 88820 96060 106584 111025 120075 133230 160100 177640 192120 200125 222050 240150 266460 320200 333075 400250 444100 480300 532920 555125 600375 666150 800500 888200 960600 1110250 1200750 1332300 1601000 1665375 2220500 2401500 2664600 3330750 4441000 4803000 6661500 7110041 13323000 14220082 21330123 28440164 35550205 42660246 56880328 71100410 85320492 106650615 142200820 170640984 177751025 213301230 284401640 355502050 426602460 533253075 711004100 853204920 888755125 1066506150 1422008200 1777510250 2133012300 2666265375 3555020500 4266024600 5332530750 7110041000 10665061500 21330123000