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21112011010221 = 3737913115436037
BaseRepresentation
bin1001100110011100001011…
…11010101011000010101101
32202202021210100100210220220
410303032011322223002231
510231344344304311341
6112522420213201553
74306202212450635
oct463160572530255
982667710323826
1021112011010221
1167aa60a90a85a
12244b7959302b9
13ba1b145aa141
1452db809ab6c5
1526928a02ea66
hex133385eab0ad

21112011010221 has 64 divisors (see below), whose sum is σ = 29140435230720. Its totient is φ = 13590456721920.

The previous prime is 21112011010213. The next prime is 21112011010229. The reversal of 21112011010221 is 12201011021112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21112011010213) and next prime (21112011010229).

It is not a de Polignac number, because 21112011010221 - 23 = 21112011010213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21112011010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112011010229) 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 63 ways as a sum of consecutive naturals, for example, 3497100015 + ... + 3497106051.

It is an arithmetic number, because the mean of its divisors is an integer number (455319300480).

Almost surely, 221112011010221 is an apocalyptic number.

It is an amenable number.

21112011010221 is a deficient number, since it is larger than the sum of its proper divisors (8028424220499).

21112011010221 is a wasteful number, since it uses less digits than its factorization.

21112011010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21112011010221 its reverse (12201011021112), we get a palindrome (33313022031333).

The spelling of 21112011010221 in words is "twenty-one trillion, one hundred twelve billion, eleven million, ten thousand, two hundred twenty-one".

Divisors: 1 3 73 79 131 219 237 393 1543 4629 5767 6037 9563 10349 17301 18111 28689 31047 112639 121897 202133 337917 365691 440701 476923 606399 755477 790847 1322103 1430769 2266431 2372541 8898481 9315091 14755709 15968507 26695443 27945273 34815379 44267127 47905521 57731831 62476913 104446137 173195493 187430739 680001643 735892189 1165701011 1220276921 2040004929 2207676567 3497103033 3660830763 4560814649 13682443947 53720129797 89080215233 96401876759 161160389391 267240645699 289205630277 7037337003407 21112011010221