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1100022144312 = 233713929542167
BaseRepresentation
bin10000000000011110011…
…011011101110100111000
310220011100102201211000110
4100000132123131310320
5121010321132104222
62201202044104320
7142321400644140
oct20003633356470
93804312654013
101100022144312
11394575906383
121592372350a0
137c96855c710
143b3543cd920
151d9328c730c
hex1001e6ddd38

1100022144312 has 128 divisors (see below), whose sum is σ = 3388333132800. Its totient is φ = 289802907648.

The previous prime is 1100022144311. The next prime is 1100022144367. The reversal of 1100022144312 is 2134412200011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100022144311) by changing a digit.

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, 1757853 + ... + 2300019.

It is an arithmetic number, because the mean of its divisors is an integer number (26471352600).

Almost surely, 21100022144312 is an apocalyptic number.

1100022144312 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 1100022144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694166566400).

1100022144312 is an abundant number, since it is smaller than the sum of its proper divisors (2288310988488).

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

1100022144312 is a wasteful number, since it uses less digits than its factorization.

1100022144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543125 (or 543121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1100022144312 its reverse (2134412200011), we get a palindrome (3234434344323).

The spelling of 1100022144312 in words is "one trillion, one hundred billion, twenty-two million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 929 1092 1858 2184 2787 3716 5574 6503 7432 11148 12077 13006 19509 22296 24154 26012 36231 39018 48308 52024 72462 78036 84539 96616 144924 156072 169078 253617 289848 338156 507234 542167 676312 1014468 1084334 1626501 2028936 2168668 3253002 3795169 4337336 6506004 7048171 7590338 11385507 13012008 14096342 15180676 21144513 22771014 28192684 30361352 42289026 45542028 49337197 56385368 84578052 91084056 98674394 148011591 169156104 197348788 296023182 394697576 503673143 592046364 1007346286 1184092728 1511019429 2014692572 3022038858 3525712001 4029385144 6044077716 6547750859 7051424002 10577136003 12088155432 13095501718 14102848004 19643252577 21154272006 26191003436 28205696008 39286505154 42308544012 45834256013 52382006872 78573010308 84617088024 91668512026 137502768039 157146020616 183337024052 275005536078 366674048104 550011072156 1100022144312