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1001201110110 = 2325109110196569
BaseRepresentation
bin11101001000111000011…
…11001000110001011110
310112201021102112010210200
432210130033020301132
5112400424441010420
62043540114244330
7132222461006535
oct16443417106136
93481242463720
101001201110110
11356674a1a783
121420582866a6
137354a08b396
143665bb8531c
151b09be20b90
hexe91c3c8c5e

1001201110110 has 48 divisors (see below), whose sum is σ = 2605509138960. Its totient is φ = 266742218880.

The previous prime is 1001201110109. The next prime is 1001201110123. The reversal of 1001201110110 is 110111021001.

1001201110110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001201110092 and 1001201110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5000095 + ... + 5196474.

It is an arithmetic number, because the mean of its divisors is an integer number (54281440395).

Almost surely, 21001201110110 is an apocalyptic number.

1001201110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001201110110 is an abundant number, since it is smaller than the sum of its proper divisors (1604308028850).

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

1001201110110 is a wasteful number, since it uses less digits than its factorization.

1001201110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197673 (or 10197670 counting only the distinct ones).

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

Adding to 1001201110110 its reverse (110111021001), we get a palindrome (1111312131111).

The spelling of 1001201110110 in words is "one trillion, one billion, two hundred one million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1091 2182 3273 5455 6546 9819 10910 16365 19638 32730 49095 98190 10196569 20393138 30589707 50982845 61179414 91769121 101965690 152948535 183538242 305897070 458845605 917691210 11124456779 22248913558 33373370337 55622283895 66746740674 100120111011 111244567790 166866851685 200240222022 333733703370 500600555055 1001201110110