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10221103000 = 235331536221
BaseRepresentation
bin10011000010011100…
…11010011110011000
3222101022210211102101
421201032122132120
5131413100244000
64410121413144
7511200641053
oct114116323630
928338724371
1010221103000
114375600a69
121b9303a1b4
13c6b752c54
146cd679a9a
153ec4d4e6a
hex26139a798

10221103000 has 128 divisors (see below), whose sum is σ = 25158781440. Its totient is φ = 3881280000.

The previous prime is 10221102979. The next prime is 10221103003. The reversal of 10221103000 is 30112201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221103003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639890 + ... + 1646110.

It is an arithmetic number, because the mean of its divisors is an integer number (196552980).

Almost surely, 210221103000 is an apocalyptic number.

10221103000 is a gapful number since it is divisible by the number (10) 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 10221103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579390720).

10221103000 is an abundant number, since it is smaller than the sum of its proper divisors (14937678440).

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

10221103000 is a wasteful number, since it uses less digits than its factorization.

10221103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10221103000 its reverse (30112201), we get a palindrome (10251215201).

The spelling of 10221103000 in words is "ten billion, two hundred twenty-one million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 53 62 100 106 124 125 155 200 212 248 250 265 310 424 500 530 620 775 1000 1060 1240 1325 1550 1643 2120 2650 3100 3286 3875 5300 6200 6221 6572 6625 7750 8215 10600 12442 13144 13250 15500 16430 24884 26500 31000 31105 32860 41075 49768 53000 62210 65720 82150 124420 155525 164300 192851 205375 248840 311050 328600 329713 385702 410750 622100 659426 771404 777625 821500 964255 1244200 1318852 1542808 1555250 1643000 1648565 1928510 2637704 3110500 3297130 3857020 4821275 6221000 6594260 7714040 8242825 9642550 10221103 13188520 16485650 19285100 20442206 24106375 32971300 38570200 40884412 41214125 48212750 51105515 65942600 81768824 82428250 96425500 102211030 164856500 192851000 204422060 255527575 329713000 408844120 511055150 1022110300 1277637875 2044220600 2555275750 5110551500 10221103000