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2202220113100 = 2252719726096121
BaseRepresentation
bin100000000010111110100…
…011000010110011001100
321210112022111122222002121
4200002332203002303030
5242040121322104400
64403404055502324
7315051032051020
oct40027643026314
97715274588077
102202220113100
11779a579298a7
122b697b0879a4
1312c88c807927
1478833766380
153c4412e321a
hex200be8c2ccc

2202220113100 has 144 divisors (see below), whose sum is σ = 5492230349760. Its totient is φ = 750803558400.

The previous prime is 2202220113073. The next prime is 2202220113143. The reversal of 2202220113100 is 13110222022.

It is a happy number.

It is a super-2 number, since 2×22022201131002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359778040 + ... + 359784160.

It is an arithmetic number, because the mean of its divisors is an integer number (38140488540).

Almost surely, 22202220113100 is an apocalyptic number.

2202220113100 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 2202220113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746115174880).

2202220113100 is an abundant number, since it is smaller than the sum of its proper divisors (3290010236660).

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

2202220113100 is a wasteful number, since it uses less digits than its factorization.

2202220113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2202220113100 its reverse (13110222022), we get a palindrome (2215330335122).

The spelling of 2202220113100 in words is "two trillion, two hundred two billion, two hundred twenty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 197 350 394 700 788 985 1379 1970 2609 2758 3940 4925 5218 5516 6121 6895 9850 10436 12242 13045 13790 18263 19700 24484 26090 27580 30605 34475 36526 42847 52180 61210 65225 68950 73052 85694 91315 122420 130450 137900 153025 171388 182630 214235 260900 306050 365260 428470 456575 513973 612100 856940 913150 1027946 1071175 1205837 1826300 2055892 2142350 2411674 2569865 3597811 4284700 4823348 5139730 6029185 7195622 8440859 10279460 12058370 12849325 14391244 15969689 16881718 17989055 24116740 25698650 30145925 31939378 33763436 35978110 42204295 51397300 60291850 63878756 71956220 79848445 84408590 89945275 111787823 120583700 159696890 168817180 179890550 211021475 223575646 319393780 359781100 399242225 422042950 447151292 558939115 798484450 844085900 1117878230 1596968900 2235756460 2794695575 3146028733 5589391150 6292057466 11178782300 12584114932 15730143665 22022201131 31460287330 44044402262 62920574660 78650718325 88088804524 110111005655 157301436650 220222011310 314602873300 440444022620 550555028275 1101110056550 2202220113100