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1100111113310 = 2511172325578031
BaseRepresentation
bin10000000000100011101…
…110110110110001011110
310220011120122010220112112
4100000203232312301132
5121011011421111220
62201214543034022
7142323531114026
oct20004356666136
93804518126475
101100111113310
11394611053080
12159260b9b912
137c980b102b1
143b36214ca86
151d93a5ed5c5
hex10023bb6c5e

1100111113310 has 64 divisors (see below), whose sum is σ = 2386737321984. Its totient is φ = 360138662400.

The previous prime is 1100111113289. The next prime is 1100111113313. The reversal of 1100111113310 is 133111110011.

It is a super-2 number, since 2×11001111133102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100111113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12746006 + ... + 12832025.

It is an arithmetic number, because the mean of its divisors is an integer number (37292770656).

Almost surely, 21100111113310 is an apocalyptic number.

1100111113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100111113310 is an abundant number, since it is smaller than the sum of its proper divisors (1286626208674).

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

1100111113310 is a wasteful number, since it uses less digits than its factorization.

1100111113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25578089.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1100111113310 its reverse (133111110011), we get a palindrome (1233222223321).

The spelling of 1100111113310 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 11 17 22 23 34 46 55 85 110 115 170 187 230 253 374 391 506 782 935 1265 1870 1955 2530 3910 4301 8602 21505 43010 25578031 51156062 127890155 255780310 281358341 434826527 562716682 588294713 869653054 1176589426 1406791705 2174132635 2813583410 2941473565 4348265270 4783091797 5882947130 6471241843 9566183594 10001010121 12942483686 20002020242 23915458985 32356209215 47830917970 50005050605 64712418430 100010101210 110011111331 220022222662 550055556655 1100111113310