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11111212014 = 2373131726921
BaseRepresentation
bin10100101100100011…
…11010001111101110
31001200100201001102220
422112101322033232
5140223432241024
65034315500210
7542226513060
oct122621721756
931610631386
1011111212014
114791a98051
1221a1157666
131080c95586
1477597d730
1545070ae79
hex29647a3ee

11111212014 has 64 divisors (see below), whose sum is σ = 26299994112. Its totient is φ = 3062419200.

The previous prime is 11111212009. The next prime is 11111212043. The reversal of 11111212014 is 41021211111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11111211984 and 11111212002.

It is a congruent number.

It is an unprimeable number.

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, 399274 + ... + 426194.

It is an arithmetic number, because the mean of its divisors is an integer number (410937408).

Almost surely, 211111212014 is an apocalyptic number.

11111212014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111212014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149997056).

11111212014 is an abundant number, since it is smaller than the sum of its proper divisors (15188782098).

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

11111212014 is a wasteful number, since it uses less digits than its factorization.

11111212014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27281.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11111212014 its reverse (41021211111), we get a palindrome (52132423125).

The spelling of 11111212014 in words is "eleven billion, one hundred eleven million, two hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 317 434 634 651 951 1302 1902 2219 4438 6657 9827 13314 19654 26921 29481 53842 58962 68789 80763 137578 161526 188447 206367 376894 412734 565341 834551 1130682 1669102 2503653 5007306 5841857 8533957 11683714 17067914 17525571 25601871 35051142 51203742 59737699 119475398 179213097 264552667 358426194 529105334 793658001 1587316002 1851868669 3703737338 5555606007 11111212014