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22202012220100 = 22527310329527879
BaseRepresentation
bin1010000110001010011110…
…00011010011101011000100
32220121111021101221102011121
411003011033003103223010
510402224210112020400
6115115244050043324
74451020363042606
oct503051703235304
986544241842147
1022202012220100
11708a903102839
1225a6a94b79544
13c508439cc84b
1456a824149176
152877d2cb121a
hex14314f0d3ac4

22202012220100 has 72 divisors (see below), whose sum is σ = 49312504492160. Its totient is φ = 8674109441280.

The previous prime is 22202012220071. The next prime is 22202012220103. The reversal of 22202012220100 is 102221020222.

It is not an unprimeable number, because it can be changed into a prime (22202012220103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14012040 + ... + 15515839.

Almost surely, 222202012220100 is an apocalyptic number.

22202012220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202012220100 is an abundant number, since it is smaller than the sum of its proper divisors (27110492272060).

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

22202012220100 is a wasteful number, since it uses less digits than its factorization.

22202012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29528069 (or 29528062 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22202012220100 its reverse (102221020222), we get a palindrome (22304233240322).

It can be divided in two parts, 222020122 and 20100, that added together give a palindrome (222040222).

The spelling of 22202012220100 in words is "twenty-two trillion, two hundred two billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 103 146 206 292 365 412 515 730 1030 1460 1825 2060 2575 3650 5150 7300 7519 10300 15038 30076 37595 75190 150380 187975 375950 751900 29527879 59055758 118111516 147639395 295278790 590557580 738196975 1476393950 2155535167 2952787900 3041371537 4311070334 6082743074 8622140668 10777675835 12165486148 15206857685 21555351670 30413715370 43110703340 53888379175 60827430740 76034288425 107776758350 152068576850 215553516700 222020122201 304137153700 444040244402 888080488804 1110100611005 2220201222010 4440402444020 5550503055025 11101006110050 22202012220100