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21112012220200 = 23521118061531331
BaseRepresentation
bin1001100110011100001011…
…11111010010011100101000
32202202021210102122021200221
410303032011333102130220
510231344400112021300
6112522420255135424
74306202225650366
oct463160577223450
982667712567627
1021112012220200
1167aa610566940
12244b796214574
13ba1b14911ac5
1452db80c04636
1526928a1bd31a
hex133385fd2728

21112012220200 has 96 divisors (see below), whose sum is σ = 53550805698720. Its totient is φ = 7676655840000.

The previous prime is 21112012220177. The next prime is 21112012220203. The reversal of 21112012220200 is 202221021112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21112012220203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39468535 + ... + 39999865.

It is an arithmetic number, because the mean of its divisors is an integer number (557820892695).

Almost surely, 221112012220200 is an apocalyptic number.

21112012220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112012220200 is an abundant number, since it is smaller than the sum of its proper divisors (32438793478520).

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

21112012220200 is a wasteful number, since it uses less digits than its factorization.

21112012220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549419 (or 549410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21112012220200 its reverse (202221021112), we get a palindrome (21314233241312).

The spelling of 21112012220200 in words is "twenty-one trillion, one hundred twelve billion, twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 18061 36122 72244 90305 144488 180610 198671 361220 397342 451525 531331 722440 794684 903050 993355 1062662 1589368 1806100 1986710 2125324 2656655 3612200 3973420 4250648 4966775 5313310 5844641 7946840 9933550 10626620 11689282 13283275 19867100 21253240 23378564 26566550 29223205 39734200 46757128 53133100 58446410 106266200 116892820 146116025 233785640 292232050 584464100 1168928200 9596369191 19192738382 38385476764 47981845955 76770953528 95963691910 105560061101 191927383820 211120122202 239909229775 383854767640 422240244404 479818459550 527800305505 844480488808 959636919100 1055600611010 1919273838200 2111201222020 2639001527525 4222402444040 5278003055050 10556006110100 21112012220200