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1100201201112 = 2331310735819203
BaseRepresentation
bin10000000000101001000…
…110100000110111011000
310220011210220122211202210
4100000221012200313120
5121011203001413422
62201231521555120
7142326003623466
oct20005106406730
93804726584683
101100201201112
11394657994402
121592871a5aa0
137c9966931a0
143b3700bd836
151d94349610c
hex100291a0dd8

1100201201112 has 128 divisors (see below), whose sum is σ = 2990923004160. Its totient is φ = 335229596160.

The previous prime is 1100201201069. The next prime is 1100201201123. The reversal of 1100201201112 is 2111021020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119543503 + ... + 119552705.

It is an arithmetic number, because the mean of its divisors is an integer number (23366585970).

Almost surely, 21100201201112 is an apocalyptic number.

1100201201112 is a gapful number since it is divisible by the number (12) 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 1100201201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495461502080).

1100201201112 is an abundant number, since it is smaller than the sum of its proper divisors (1890721803048).

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

1100201201112 is a wasteful number, since it uses less digits than its factorization.

1100201201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12913 (or 12909 counting only the distinct ones).

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

Adding to 1100201201112 its reverse (2111021020011), we get a palindrome (3211222221123).

The spelling of 1100201201112 in words is "one trillion, one hundred billion, two hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2568 2782 3581 4173 5564 7162 8346 9203 10743 11128 14324 16692 18406 21486 27609 28648 33384 36812 42972 46553 55218 73624 85944 93106 110436 119639 139659 186212 220872 239278 279318 358917 372424 383167 478556 558636 717834 766334 957112 984721 1117272 1149501 1435668 1532668 1969442 2299002 2871336 2954163 3065336 3938884 4598004 4981171 5908326 7877768 9196008 9962342 11816652 12801373 14943513 19924684 23633304 25602746 29887026 32955943 38404119 39849368 51205492 59774052 65911886 76808238 98867829 102410984 119548104 131823772 153616476 197735658 263647544 307232952 395471316 428427259 790942632 856854518 1285281777 1713709036 2570563554 3427418072 3526285901 5141127108 7052571802 10282254216 10578857703 14105143604 21157715406 28210287208 42315430812 45841716713 84630861624 91683433426 137525150139 183366866852 275050300278 366733733704 550100600556 1100201201112