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1111111382112 = 253431069251791
BaseRepresentation
bin10000001010110011011…
…001100011010001100000
310221012222021002110111120
4100022303121203101200
5121201024003211422
62210234301012240
7143163242626404
oct20126331432140
93835867073446
101111111382112
11399246454916
1215b410b54080
1380a14b000a4
143bac708d104
151dd811e245c
hex102b3663460

1111111382112 has 96 divisors (see below), whose sum is σ = 2987300574720. Its totient is φ = 361417351680.

The previous prime is 1111111382111. The next prime is 1111111382159. The reversal of 1111111382112 is 2112831111111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111111382111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4286937 + ... + 4538727.

It is an arithmetic number, because the mean of its divisors is an integer number (31117714320).

Almost surely, 21111111382112 is an apocalyptic number.

1111111382112 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 1111111382112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493650287360).

1111111382112 is an abundant number, since it is smaller than the sum of its proper divisors (1876189192608).

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

1111111382112 is a wasteful number, since it uses less digits than its factorization.

1111111382112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252916 (or 252908 counting only the distinct ones).

The product of its digits is 96, while the sum is 24.

Adding to 1111111382112 its reverse (2112831111111), we get a palindrome (3223942493223).

The spelling of 1111111382112 in words is "one trillion, one hundred eleven billion, one hundred eleven million, three hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1069 1376 2064 2138 3207 4128 4276 6414 8552 12828 17104 25656 34208 45967 51312 91934 102624 137901 183868 251791 275802 367736 503582 551604 735472 755373 1007164 1103208 1470944 1510746 2014328 2206416 3021492 4028656 4412832 6042984 8057312 10827013 12085968 21654026 24171936 32481039 43308052 64962078 86616104 129924156 173232208 259848312 269164579 346464416 519696624 538329158 807493737 1039393248 1076658316 1614987474 2153316632 3229974948 4306633264 6459949896 8613266528 11574076897 12919899792 23148153794 25839799584 34722230691 46296307588 69444461382 92592615176 138888922764 185185230352 277777845528 370370460704 555555691056 1111111382112