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11120001101110 = 25111743138291271
BaseRepresentation
bin1010000111010001001110…
…1101110010110100110110
31110101001122222220020020201
42201310103231302310312
52424142230240213420
635352242531351114
72225251664543056
oct241642355626466
943331588806221
1011120001101110
1135a7a697a6340
1212b7169a5249a
136287c4905665
142a62d4ac7566
151443cb7cb10a
hexa1d13b72d36

11120001101110 has 64 divisors (see below), whose sum is σ = 23657764483584. Its totient is φ = 3717269337600.

The previous prime is 11120001101101. The next prime is 11120001101177. The reversal of 11120001101110 is 1110110002111.

It is a super-2 number, since 2×111200011011102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 69065226 + ... + 69226045.

It is an arithmetic number, because the mean of its divisors is an integer number (369652570056).

Almost surely, 211120001101110 is an apocalyptic number.

11120001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11120001101110 is an abundant number, since it is smaller than the sum of its proper divisors (12537763382474).

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

11120001101110 is a wasteful number, since it uses less digits than its factorization.

11120001101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138291349.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11120001101110 its reverse (1110110002111), we get a palindrome (12230111103221).

The spelling of 11120001101110 in words is "eleven trillion, one hundred twenty billion, one million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 43 55 85 86 110 170 187 215 374 430 473 731 935 946 1462 1870 2365 3655 4730 7310 8041 16082 40205 80410 138291271 276582542 691456355 1382912710 1521203981 2350951607 3042407962 4701903214 5946524653 7606019905 11754758035 11893049306 15212039810 23509516070 25860467677 29732623265 51720935354 59465246530 65411771183 101090919101 129302338385 130823542366 202181838202 258604676770 327058855915 505454595505 654117711830 1010909191010 1112000110111 2224000220222 5560000550555 11120001101110