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111101211021444 = 22373742418428873
BaseRepresentation
bin11001010000101111000100…
…001101111001000010000100
3112120101011122102100210221220
4121100233010031321002010
5104030240240010141234
61032143105225440340
732254540402665060
oct3120570415710204
9476334572323856
10111101211021444
1132444839245556
12105641aa9400b0
1349cba50c2c667
141d614821a6aa0
15cc9ee6679a49
hex650bc4379084

111101211021444 has 96 divisors (see below), whose sum is σ = 304348973220096. Its totient is φ = 30877992529920.

The previous prime is 111101211021439. The next prime is 111101211021461. The reversal of 111101211021444 is 444120112101111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8966592 + ... + 17395464.

It is an arithmetic number, because the mean of its divisors is an integer number (3170301804376).

Almost surely, 2111101211021444 is an apocalyptic number.

111101211021444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111101211021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152174486610048).

111101211021444 is an abundant number, since it is smaller than the sum of its proper divisors (193247762198652).

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

111101211021444 is a wasteful number, since it uses less digits than its factorization.

111101211021444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433165 (or 8433163 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 111101211021444 its reverse (444120112101111), we get a palindrome (555221323122555).

The spelling of 111101211021444 in words is "one hundred eleven trillion, one hundred one billion, two hundred eleven million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 4241 8482 12723 16964 25446 29687 50892 59374 89061 118748 156917 178122 313834 356244 470751 627668 941502 1098419 1883004 2196838 3295257 4393676 6590514 8428873 13181028 16857746 25286619 33715492 50573238 59002111 101146476 118004222 177006333 236008444 311868301 354012666 623736602 708025332 935604903 1247473204 1871209806 2183078107 3742419612 4366156214 6549234321 8732312428 13098468642 26196937284 35746850393 71493700786 107240551179 142987401572 214481102358 250227952751 428962204716 500455905502 750683858253 1000911811004 1322633464541 1501367716506 2645266929082 3002735433012 3967900393623 5290533858164 7935800787246 9258434251787 15871601574492 18516868503574 27775302755361 37033737007148 55550605510722 111101211021444