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1100170134 = 23377140993
BaseRepresentation
bin100000110010011…
…0100001110010110
32211200011102201000
41001210310032112
54223120421014
6301100244130
736156202050
oct10144641626
92750142630
101100170134
11515021118
12268540646
13146c1025b
14a61848d0
15668bb509
hex41934396

1100170134 has 64 divisors (see below), whose sum is σ = 2833505280. Its totient is φ = 309899520.

The previous prime is 1100170133. The next prime is 1100170153. The reversal of 1100170134 is 4310710011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100170133) 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 31 ways as a sum of consecutive naturals, for example, 6342 + ... + 47334.

It is an arithmetic number, because the mean of its divisors is an integer number (44273520).

Almost surely, 21100170134 is an apocalyptic number.

1100170134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100170134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416752640).

1100170134 is an abundant number, since it is smaller than the sum of its proper divisors (1733335146).

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

1100170134 is a wasteful number, since it uses less digits than its factorization.

1100170134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41082 (or 41076 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1100170134 is about 33168.8126709414. The cubic root of 1100170134 is about 1032.3333326962. Note that the first 5 decimals are identical.

Adding to 1100170134 its reverse (4310710011), we get a palindrome (5410880145).

The spelling of 1100170134 in words is "one billion, one hundred million, one hundred seventy thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 126 142 189 213 378 426 497 639 994 1278 1491 1917 2982 3834 4473 8946 13419 26838 40993 81986 122979 245958 286951 368937 573902 737874 860853 1106811 1721706 2213622 2582559 2910503 5165118 5821006 7747677 8731509 15495354 17463018 20373521 26194527 40747042 52389054 61120563 78583581 122241126 157167162 183361689 366723378 550085067 1100170134