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1100103231104 = 27291372163241
BaseRepresentation
bin10000000000100011010…
…000110010011010000000
310220011120002022110011222
4100000203100302122000
5121011002411343404
62201214102054212
7142323404114603
oct20004320623200
93804502273158
101100103231104
1139460765a059
1215925a41a368
137c97c2b0677
143b36109a33a
151d939a92dbe
hex10023432680

1100103231104 has 64 divisors (see below), whose sum is σ = 2283734579400. Its totient is φ = 527207546880.

The previous prime is 1100103231041. The next prime is 1100103231113. The reversal of 1100103231104 is 4011323010011.

It can be written as a sum of positive squares in 4 ways, for example, as 813878231104 + 286225000000 = 902152^2 + 535000^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573077 + ... + 1590164.

Almost surely, 21100103231104 is an apocalyptic number.

It is an amenable number.

1100103231104 is an abundant number, since it is smaller than the sum of its proper divisors (1183631348296).

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

1100103231104 is a wasteful number, since it uses less digits than its factorization.

1100103231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163421 (or 2163409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1100103231104 its reverse (4011323010011), we get a palindrome (5111426241115).

The spelling of 1100103231104 in words is "one trillion, one hundred billion, one hundred three million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 274 464 548 928 1096 1856 2192 3712 3973 4384 7946 8768 15892 17536 31784 63568 127136 254272 508544 2163241 4326482 8652964 17305928 34611856 62733989 69223712 125467978 138447424 250935956 276894848 296364017 501871912 592728034 1003743824 1185456068 2007487648 2370912136 4014975296 4741824272 8029950592 8594556493 9483648544 17189112986 18967297088 34378225972 37934594176 68756451944 137512903888 275025807776 550051615552 1100103231104