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1101100101102 = 233591811190837
BaseRepresentation
bin10000000001011110101…
…011100010110111101110
310220021010120002200202000
4100001132223202313232
5121020023111213402
62201501032313130
7142360200301251
oct20013653426756
93807116080660
101101100101102
11394a79335261
121594982427a6
137caaa992c81
143b417631098
151d997356c1c
hex1005eae2dee

1101100101102 has 64 divisors (see below), whose sum is σ = 2489748883200. Its totient is φ = 360611339040.

The previous prime is 1101100101091. The next prime is 1101100101109. The reversal of 1101100101102 is 2011010011011.

It is a super-2 number, since 2×11011001011022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100101109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5674428 + ... + 5865264.

It is an arithmetic number, because the mean of its divisors is an integer number (38902326300).

Almost surely, 21101100101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101100101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244874441600).

1101100101102 is an abundant number, since it is smaller than the sum of its proper divisors (1388648782098).

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

1101100101102 is a wasteful number, since it uses less digits than its factorization.

1101100101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192718 (or 192712 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101100101102 its reverse (2011010011011), we get a palindrome (3112110112113).

Subtracting 1101100101102 from its reverse (2011010011011), we obtain a palindrome (909909909909).

The spelling of 1101100101102 in words is "one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 1811 3186 3622 5433 10866 16299 32598 48897 97794 106849 190837 213698 320547 381674 572511 641094 961641 1145022 1717533 1923282 2884923 3435066 5152599 5769846 10305198 11259383 22518766 33778149 67556298 101334447 202668894 304003341 345605807 608006682 691211614 1036817421 2073634842 3110452263 6220904526 9331356789 18662713578 20390742613 40781485226 61172227839 122344455678 183516683517 367033367034 550550050551 1101100101102