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21123000 = 2332532347
BaseRepresentation
bin101000010010…
…0111110111000
31110202011022100
41100210332320
520401414000
62032423400
7344354043
oct120447670
943664270
1021123000
1110a18028
1270a7b60
1344b7622
142b3bc5a
151cc3a00
hex1424fb8

21123000 has 96 divisors (see below), whose sum is σ = 71426160. Its totient is φ = 5630400.

The previous prime is 21122971. The next prime is 21123013. The reversal of 21123000 is 32112.

It is a happy number.

It is a super-2 number, since 2×211230002 = 892362258000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7827 + ... + 10173.

Almost surely, 221123000 is an apocalyptic number.

21123000 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 21123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35713080).

21123000 is an abundant number, since it is smaller than the sum of its proper divisors (50303160).

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

21123000 is a wasteful number, since it uses less digits than its factorization.

21123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21123000 is about 4595.9765012454. The cubic root of 21123000 is about 276.4300165036.

Adding to 21123000 its reverse (32112), we get a palindrome (21155112).

The spelling of 21123000 in words is "twenty-one million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 2347 3000 4500 4694 7041 9000 9388 11735 14082 18776 21123 23470 28164 35205 42246 46940 56328 58675 70410 84492 93880 105615 117350 140820 168984 176025 211230 234700 281640 293375 352050 422460 469400 528075 586750 704100 844920 880125 1056150 1173500 1408200 1760250 2112300 2347000 2640375 3520500 4224600 5280750 7041000 10561500 21123000