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111121122013 = 111723311077789
BaseRepresentation
bin110011101111101010…
…1011100001011011101
3101121211012222212122121
41213133111130023131
53310034001401023
6123014235142541
711012453644516
oct1473725341335
9347735885577
10111121122013
1143142a81730
12196522a4a51
13a62b864905
14554205da0d
152d55751d5d
hex19df55c2dd

111121122013 has 64 divisors (see below), whose sum is σ = 139564892160. Its totient is φ = 87175756800.

The previous prime is 111121122001. The next prime is 111121122067. The reversal of 111121122013 is 310221121111.

It is a happy number.

It is not a de Polignac number, because 111121122013 - 25 = 111121121981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121122113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14262523 + ... + 14270311.

It is an arithmetic number, because the mean of its divisors is an integer number (2180701440).

Almost surely, 2111121122013 is an apocalyptic number.

It is an amenable number.

111121122013 is a deficient number, since it is larger than the sum of its proper divisors (28443770147).

111121122013 is a wasteful number, since it uses less digits than its factorization.

111121122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 111121122013 its reverse (310221121111), we get a palindrome (421342243124).

The spelling of 111121122013 in words is "one hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, thirteen".

Divisors: 1 11 17 23 31 107 187 253 341 391 527 713 1177 1819 2461 3317 4301 5797 7789 7843 12121 20009 27071 36487 41837 56389 76291 85679 132413 133331 179147 241459 460207 620279 833423 839201 1296947 1456543 1970617 2656049 3045499 4104803 5553557 9167653 14168191 14266417 19168729 25836113 33500489 45152833 61089127 94410469 155850101 210856019 284197243 325868393 439213921 594230599 1038515159 3584552323 4831353131 6536536589 10101920183 111121122013