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10221123000 = 2335311309731
BaseRepresentation
bin10011000010011100…
…11111010110111000
3222101022211211212010
421201032133112320
5131413101414000
64410122045520
7511201053264
oct114116372670
928338754763
1010221123000
114375614aa0
121b930498a0
13c6b75c09a
146cd6830a4
153ec4dad50
hex26139f5b8

10221123000 has 128 divisors (see below), whose sum is σ = 34789098240. Its totient is φ = 2477840000.

The previous prime is 10221122999. The next prime is 10221123023. The reversal of 10221123000 is 32112201.

It is a super-2 number, since 2×102211230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121866 + ... + 187865.

It is an arithmetic number, because the mean of its divisors is an integer number (271789830).

Almost surely, 210221123000 is an apocalyptic number.

10221123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221123000 is an abundant number, since it is smaller than the sum of its proper divisors (24567975240).

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

10221123000 is a wasteful number, since it uses less digits than its factorization.

10221123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309766 (or 309752 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10221123000 its reverse (32112201), we get a palindrome (10253235201).

The spelling of 10221123000 in words is "ten billion, two hundred twenty-one million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 309731 619462 929193 1238924 1548655 1858386 2477848 3097310 3407041 3716772 4645965 6194620 6814082 7433544 7743275 9291930 10221123 12389240 13628164 15486550 17035205 18583860 20442246 23229825 27256328 30973100 34070410 37167720 38716375 40884492 46459650 51105615 61946200 68140820 77432750 81768984 85176025 92919300 102211230 116149125 136281640 154865500 170352050 185838600 204422460 232298250 255528075 309731000 340704100 408844920 425880125 464596500 511056150 681408200 851760250 929193000 1022112300 1277640375 1703520500 2044224600 2555280750 3407041000 5110561500 10221123000