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1021001101110 = 232582313784273
BaseRepresentation
bin11101101101110000110…
…10000110111100110110
310121121101022200220021200
432312320122012330312
5113212002240213420
62101012540553330
7133523234111034
oct16667032067466
93547338626250
101021001101110
11364005560001
12145a63252846
13753841a78a3
14375b9685554
151b85a32eb90
hexedb8686f36

1021001101110 has 48 divisors (see below), whose sum is σ = 2657828575584. Its totient is φ = 271936118016.

The previous prime is 1021001101091. The next prime is 1021001101177. The reversal of 1021001101110 is 111011001201.

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 = 1021001101092 and 1021001101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6818067 + ... + 6966206.

It is an arithmetic number, because the mean of its divisors is an integer number (55371428658).

Almost surely, 21021001101110 is an apocalyptic number.

1021001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021001101110 is an abundant number, since it is smaller than the sum of its proper divisors (1636827474474).

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

1021001101110 is a wasteful number, since it uses less digits than its factorization.

1021001101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13785109 (or 13785106 counting only the distinct ones).

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

Adding to 1021001101110 its reverse (111011001201), we get a palindrome (1132012102311).

Subtracting from 1021001101110 its reverse (111011001201), we obtain a palindrome (909990099909).

The spelling of 1021001101110 in words is "one trillion, twenty-one billion, one million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 823 1646 2469 4115 4938 7407 8230 12345 14814 24690 37035 74070 13784273 27568546 41352819 68921365 82705638 124058457 137842730 206764095 248116914 413528190 620292285 1240584570 11344456679 22688913358 34033370037 56722283395 68066740074 102100110111 113444566790 170166850185 204200220222 340333700370 510500550555 1021001101110