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1112101100000 = 2555111011001
BaseRepresentation
bin10000001011101110011…
…001000001100111100000
310221022112020102100012122
4100023232121001213200
5121210040340200000
62210520414043412
7143226621244322
oct20135631014740
93838466370178
101112101100000
11399704095590
1215b6484a9568
1380b41b7a187
143bb7c6c1612
151dddd042085
hex102ee6419e0

1112101100000 has 144 divisors (see below), whose sum is σ = 2985424201872. Its totient is φ = 404400000000.

The previous prime is 1112101099999. The next prime is 1112101100003. The reversal of 1112101100000 is 11012111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112101100003) 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 23 ways as a sum of consecutive naturals, for example, 594500 + ... + 1605500.

It is an arithmetic number, because the mean of its divisors is an integer number (20732112513).

Almost surely, 21112101100000 is an apocalyptic number.

1112101100000 is a gapful number since it is divisible by the number (10) 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 1112101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492712100936).

1112101100000 is an abundant number, since it is smaller than the sum of its proper divisors (1873323101872).

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

1112101100000 is an equidigital number, since it uses as much as digits as its factorization.

1112101100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011047 (or 1011019 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1112101100000 its reverse (11012111), we get a palindrome (1112112112111).

The spelling of 1112101100000 in words is "one trillion, one hundred twelve billion, one hundred one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1011001 1100000 2022002 4044004 5055005 8088008 10110010 11121011 16176016 20220020 22242022 25275025 32352032 40440040 44484044 50550050 55605055 80880080 88968088 101100100 111210110 126375125 161760160 177936176 202200200 222420220 252750250 278025275 355872352 404400400 444840440 505500500 556050550 631875625 808800800 889680880 1011001000 1112101100 1263751250 1390126375 1779361760 2022002000 2224202200 2527502500 2780252750 3159378125 4044004000 4448404400 5055005000 5560505500 6318756250 6950631875 8896808800 10110010000 11121011000 12637512500 13901263750 20220020000 22242022000 25275025000 27802527500 34753159375 44484044000 50550050000 55605055000 69506318750 101100100000 111210110000 139012637500 222420220000 278025275000 556050550000 1112101100000