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1112002211221 = 1123127257311433
BaseRepresentation
bin10000001011101000011…
…111110010110110010101
310221022021100100021022021
4100023220133302312111
5121204340031224341
62210502522333141
7143224310560666
oct20135037626625
93838240307267
101112002211221
11399663292a20
1215b61b35a1b1
1380b275353c5
143bb6d4dd36d
151ddd450b9d1
hex102e87f2d95

1112002211221 has 64 divisors (see below), whose sum is σ = 1287853572096. Its totient is φ = 950339174400.

The previous prime is 1112002211213. The next prime is 1112002211227. The reversal of 1112002211221 is 1221122002111.

It is not a de Polignac number, because 1112002211221 - 23 = 1112002211213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1112002211195 and 1112002211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112002211227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2568134221 + ... + 2568134653.

It is an arithmetic number, because the mean of its divisors is an integer number (20122712064).

Almost surely, 21112002211221 is an apocalyptic number.

1112002211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1112002211221 is a deficient number, since it is larger than the sum of its proper divisors (175851360875).

1112002211221 is a wasteful number, since it uses less digits than its factorization.

1112002211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1112002211221 its reverse (1221122002111), we get a palindrome (2333124213332).

The spelling of 1112002211221 in words is "one trillion, one hundred twelve billion, two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 23 127 253 257 311 433 1397 2827 2921 3421 4763 5911 7153 9959 32131 32639 39497 54991 65021 78683 79927 109549 111281 134663 359029 434467 604901 750697 879197 908431 1224091 1264793 1481293 1838321 2559463 3097249 8257667 9992741 10150729 13912723 14132687 17102201 20221531 28154093 34069739 34608391 111658019 155459557 188124211 233466767 325051801 380692301 393350623 795992993 2568134437 3575569811 4326856853 4395265657 8755922923 48347922227 101091110111 1112002211221