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1110010211112 = 2331137419271211
BaseRepresentation
bin10000001001110001110…
…000111010101100101000
310221010010112001011212110
4100021301300322230220
5121141300103223422
62205533123042320
7143124042055335
oct20116160725450
93833115034773
101110010211112
1139883090a840
1215b1642103a0
138089a92c40a
143ba20b2798c
151dd196c960c
hex10271c3ab28

1110010211112 has 128 divisors (see below), whose sum is σ = 3116551334400. Its totient is φ = 326493446400.

The previous prime is 1110010211087. The next prime is 1110010211113. The reversal of 1110010211112 is 2111120100111.

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

It is not an unprimeable number, because it can be changed into a prime (1110010211113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3957187 + ... + 4228397.

It is an arithmetic number, because the mean of its divisors is an integer number (24348057300).

Almost surely, 21110010211112 is an apocalyptic number.

1110010211112 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 1110010211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558275667200).

1110010211112 is an abundant number, since it is smaller than the sum of its proper divisors (2006541123288).

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

1110010211112 is a wasteful number, since it uses less digits than its factorization.

1110010211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271687 (or 271683 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110010211112 its reverse (2111120100111), we get a palindrome (3221130311223).

The spelling of 1110010211112 in words is "one trillion, one hundred ten billion, ten million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 419 444 814 838 888 1221 1257 1628 1676 2442 2514 3256 3352 4609 4884 5028 9218 9768 10056 13827 15503 18436 27654 31006 36872 46509 55308 62012 93018 110616 124024 170533 186036 271211 341066 372072 511599 542422 682132 813633 1023198 1084844 1364264 1627266 2046396 2169688 2983321 3254532 4092792 5966642 6509064 8949963 10034807 11933284 17899926 20069614 23866568 30104421 35799852 40139228 60208842 71599704 80278456 110382877 113637409 120417684 220765754 227274818 240835368 331148631 340912227 441531508 454549636 662297262 681824454 883063016 909099272 1250011499 1324594524 1363648908 2500022998 2649189048 2727297816 3750034497 4204584133 5000045996 7500068994 8409168266 10000091992 12613752399 15000137988 16818336532 25227504798 30000275976 33636673064 46250425463 50455009596 92500850926 100910019192 138751276389 185001701852 277502552778 370003403704 555005105556 1110010211112