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111100012221 = 311371011635527
BaseRepresentation
bin110011101111000010…
…0111010011010111101
3101121202202021101110110
41213132010322122331
53310013100342341
6123012202500233
711012106344112
oct1473604723275
9347682241413
10111100012221
1143132073620
1219647204679
13a627383303
14553d326909
152d53982216
hex19de13a6bd

111100012221 has 64 divisors (see below), whose sum is σ = 168669628416. Its totient is φ = 64455264000.

The previous prime is 111100012217. The next prime is 111100012223. The reversal of 111100012221 is 122210001111.

It is not a de Polignac number, because 111100012221 - 22 = 111100012217 is a prime.

111100012221 is a modest number, since divided by 12221 gives 1111 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 111100012197 and 111100012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100012223) 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, 20098560 + ... + 20104086.

It is an arithmetic number, because the mean of its divisors is an integer number (2635462944).

Almost surely, 2111100012221 is an apocalyptic number.

111100012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111100012221 is a deficient number, since it is larger than the sum of its proper divisors (57569616195).

111100012221 is a wasteful number, since it uses less digits than its factorization.

111100012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111100012221 its reverse (122210001111), we get a palindrome (233310013332).

The spelling of 111100012221 in words is "one hundred eleven billion, one hundred million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 101 111 163 303 407 489 1111 1221 1793 3333 3737 5379 5527 6031 11211 16463 16581 18093 41107 49389 60797 66341 123321 181093 182391 199023 204499 543279 558227 609131 613497 900901 1674681 1827393 2249489 2702703 6140497 6700441 6748467 9909911 18421491 20101323 20654399 29729733 33333337 61963197 90991001 100000011 227198389 272973003 366666707 681595167 1000901011 1100000121 3002703033 3366667037 10100001111 37033337407 111100012221