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21201102012222 = 23211173727851359
BaseRepresentation
bin1001101001000010001000…
…01001110111111100111110
32210001210202020210122012200
410310201010021313330332
510234324324103342342
6113031352442412330
74315505033461356
oct464410411677476
983053666718180
1021201102012222
116834378413230
122464aba2010a6
13baa341ca5282
145341d2c89b66
1526b7516a394c
hex134844277f3e

21201102012222 has 96 divisors (see below), whose sum is σ = 50470745794560. Its totient is φ = 6378646570560.

The previous prime is 21201102012221. The next prime is 21201102012247. The reversal of 21201102012222 is 22221020110212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21201102012195 and 21201102012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201102012221) 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 47 ways as a sum of consecutive naturals, for example, 24476979 + ... + 25328337.

It is an arithmetic number, because the mean of its divisors is an integer number (525736935360).

Almost surely, 221201102012222 is an apocalyptic number.

21201102012222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201102012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235372897280).

21201102012222 is an abundant number, since it is smaller than the sum of its proper divisors (29269643782338).

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

21201102012222 is a wasteful number, since it uses less digits than its factorization.

21201102012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852278 (or 852275 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21201102012222 its reverse (22221020110212), we get a palindrome (43422122122434).

The spelling of 21201102012222 in words is "twenty-one trillion, two hundred one billion, one hundred two million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 727 1038 1454 1557 1903 2181 3114 3806 4362 5709 6543 7997 11418 13086 15994 17127 23991 34254 47982 71973 125771 143946 251542 377313 754626 851359 1131939 1383481 1702718 2263878 2554077 2766962 4150443 5108154 7662231 8300886 9364949 12451329 15324462 18729898 24902658 28094847 56189694 84284541 147285107 168569082 294570214 441855321 618937993 883710642 1237875986 1325565963 1620136177 1856813979 2651131926 3240272354 3713627958 4860408531 5570441937 6808317923 9720817062 11140883874 13616635846 14581225593 20424953769 29162451186 40849907538 61274861307 107076272789 122549722614 214152545578 321228818367 642457636734 963686455101 1177839000679 1927372910202 2355678001358 3533517002037 7067034004074 10600551006111 21201102012222