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22010313100 = 225217312411733
BaseRepresentation
bin10100011111111010…
…101011100110001100
32002210221021202101111
4110133322223212030
5330034120004400
614040021221404
71406302401016
oct243772534614
962727252344
1022010313100
119375280006
124323261864
1320ca023209
1410cb2a71b6
1588c4b93ba
hex51feab98c

22010313100 has 144 divisors (see below), whose sum is σ = 52450142976. Its totient is φ = 7981056000.

The previous prime is 22010313053. The next prime is 22010313119. The reversal of 22010313100 is 131301022.

It is a super-2 number, since 2×220103131002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12699834 + ... + 12701566.

It is an arithmetic number, because the mean of its divisors is an integer number (364237104).

Almost surely, 222010313100 is an apocalyptic number.

22010313100 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 22010313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26225071488).

22010313100 is an abundant number, since it is smaller than the sum of its proper divisors (30439829876).

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

22010313100 is a wasteful number, since it uses less digits than its factorization.

22010313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 22010313100 its reverse (131301022), we get a palindrome (22141614122).

The spelling of 22010313100 in words is "twenty-two billion, ten million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 241 310 340 425 482 527 620 775 850 964 1054 1205 1550 1700 1733 2108 2410 2635 3100 3466 4097 4820 5270 6025 6932 7471 8194 8665 10540 12050 13175 14942 16388 17330 20485 24100 26350 29461 29884 34660 37355 40970 43325 52700 53723 58922 74710 81940 86650 102425 107446 117844 127007 147305 149420 173300 186775 204850 214892 254014 268615 294610 373550 409700 417653 508028 537230 589220 635035 736525 747100 835306 913291 1074460 1270070 1343075 1473050 1670612 1826582 2088265 2540140 2686150 2946100 3175175 3653164 4176530 4566455 5372300 6350350 7100101 8353060 9132910 10441325 12700700 12947243 14200202 18265820 20882650 22832275 25894486 28400404 35500505 41765300 45664550 51788972 64736215 71001010 91329100 129472430 142002020 177502525 220103131 258944860 323681075 355005050 440206262 647362150 710010100 880412524 1100515655 1294724300 2201031310 4402062620 5502578275 11005156550 22010313100