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1100000110048 = 25737419316759
BaseRepresentation
bin10000000000011101000…
…111011010010111100000
310220011021220021100200121
4100000131013122113200
5121010300012010143
62201155535530024
7142321012443250
oct20003507322740
93804256240617
101100000110048
11394564426744
1215922b989914
137c963b163a8
143b3514d5960
151d9309c37ed
hex1001d1da5e0

1100000110048 has 96 divisors (see below), whose sum is σ = 2547966758400. Its totient is φ = 457591140864.

The previous prime is 1100000109979. The next prime is 1100000110049. The reversal of 1100000110048 is 8400110000011.

It is a super-2 number, since 2×11000001100482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000110049) 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, 3314293 + ... + 3631051.

It is an arithmetic number, because the mean of its divisors is an integer number (26541320400).

Almost surely, 21100000110048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100000110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273983379200).

1100000110048 is an abundant number, since it is smaller than the sum of its proper divisors (1447966648352).

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

1100000110048 is a wasteful number, since it uses less digits than its factorization.

1100000110048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317232 (or 317224 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1100000110048 its reverse (8400110000011), we get a palindrome (9500110110059).

The spelling of 1100000110048 in words is "one trillion, one hundred billion, one hundred ten thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 419 518 592 838 1036 1184 1676 2072 2933 3352 4144 5866 6704 8288 11732 13408 15503 23464 31006 46928 62012 93856 108521 124024 217042 248048 316759 434084 496096 633518 868168 1267036 1736336 2217313 2534072 3472672 4434626 5068144 8869252 10136288 11720083 17738504 23440166 35477008 46880332 70954016 82040581 93760664 132722021 164081162 187521328 265444042 328162324 375042656 530888084 656324648 929054147 1061776168 1312649296 1858108294 2123552336 2625298592 3716216588 4247104672 4910714777 7432433176 9821429554 14864866352 19642859108 29729732704 34375003439 39285718216 68750006878 78571436432 137500013756 157142872864 275000027512 550000055024 1100000110048