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1100001100128 = 25371636906399
BaseRepresentation
bin10000000000011101001…
…011001100000101100000
310220011021222010122211020
4100000131023030011200
5121010300240201003
62201200013045440
7142321024035630
oct20003513140540
93804258118736
101100001100128
11394564a42597
12159230186880
137c9640a1c38
143b3516b26c0
151d930b1bd53
hex1001d2cc160

1100001100128 has 48 divisors (see below), whose sum is σ = 3300003302400. Its totient is φ = 314286028416.

The previous prime is 1100001100127. The next prime is 1100001100129. The reversal of 1100001100128 is 8210011000011.

It is an interprime number because it is at equal distance from previous prime (1100001100127) and next prime (1100001100129).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100001100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818452528 + ... + 818453871.

It is an arithmetic number, because the mean of its divisors is an integer number (68750068800).

Almost surely, 21100001100128 is an apocalyptic number.

It is an amenable number.

1100001100128 is an abundant number, since it is smaller than the sum of its proper divisors (2200002202272).

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

1100001100128 is a wasteful number, since it uses less digits than its factorization.

1100001100128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636906419 (or 1636906411 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1100001100128 its reverse (8210011000011), we get a palindrome (9310012100139).

The spelling of 1100001100128 in words is "one trillion, one hundred billion, one million, one hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1636906399 3273812798 4910719197 6547625596 9821438394 11458344793 13095251192 19642876788 22916689586 26190502384 34375034379 39285753576 45833379172 52381004768 68750068758 78571507152 91666758344 137500137516 157143014304 183333516688 275000275032 366667033376 550000550064 1100001100128