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2221100001012 = 22317277361710867
BaseRepresentation
bin100000010100100011111…
…000000110011011110100
321212100001021111122102110
4200110203320012123310
5242342303100013022
64420205333211020
7316316633335014
oct40244370063364
97770037448373
102221100001012
11786a66057052
122ba569a90a70
131315ab10c439
1479704d95c44
153cb98a5400c
hex20523e066f4

2221100001012 has 96 divisors (see below), whose sum is σ = 5509263247488. Its totient is φ = 694044278784.

The previous prime is 2221100000993. The next prime is 2221100001031. The reversal of 2221100001012 is 2101000011222.

It is an interprime number because it is at equal distance from previous prime (2221100000993) and next prime (2221100001031).

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, 204384003 + ... + 204394869.

It is an arithmetic number, because the mean of its divisors is an integer number (57388158828).

Almost surely, 22221100001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221100001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754631623744).

2221100001012 is an abundant number, since it is smaller than the sum of its proper divisors (3288163246476).

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

2221100001012 is a wasteful number, since it uses less digits than its factorization.

2221100001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14785 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2221100001012 its reverse (2101000011222), we get a palindrome (4322100012234).

The spelling of 2221100001012 in words is "two trillion, two hundred twenty-one billion, one hundred million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 277 554 831 1108 1662 3324 3617 4709 7234 9418 10851 10867 14127 14468 18836 21702 21734 28254 32601 43404 43468 56508 61489 65202 122978 130404 184467 184739 245956 368934 369478 554217 737868 738956 1001909 1108434 2003818 2216868 3005727 3010159 4007636 6011454 6020318 9030477 12022908 12040636 17032453 18060954 34064906 36121908 39305939 51097359 51172703 68129812 78611878 102194718 102345406 117917817 153518109 157223756 204389436 204690812 235835634 307036218 471671268 614072436 668200963 1336401926 2004602889 2672803852 4009205778 8018411556 10887745103 21775490206 32663235309 43550980412 65326470618 130652941236 185091666751 370183333502 555275000253 740366667004 1110550000506 2221100001012