Search a number
-
+
11123240212214 = 21331107239539653
BaseRepresentation
bin1010000111011101010011…
…0010000001011011110110
31110101101000201212010100122
42201313110302001123312
52424220343443242324
635353540201011542
72225425155536504
oct241672462013366
943341021763318
1011123240212214
1135a9381132469
1212b7912783bb2
13628bbc9b9250
142a6520d73674
1514451ad52a5e
hexa1dd4c816f6

11123240212214 has 64 divisors (see below), whose sum is σ = 18799645777920. Its totient is φ = 4901162636160.

The previous prime is 11123240212211. The next prime is 11123240212247. The reversal of 11123240212214 is 41221204232111.

11123240212214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111232402122143 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123240212211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20342012 + ... + 20881664.

It is an arithmetic number, because the mean of its divisors is an integer number (293744465280).

Almost surely, 211123240212214 is an apocalyptic number.

11123240212214 is a deficient number, since it is larger than the sum of its proper divisors (7676405565706).

11123240212214 is a wasteful number, since it uses less digits than its factorization.

11123240212214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540045.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 11123240212214 its reverse (41221204232111), we get a palindrome (52344444444325).

The spelling of 11123240212214 in words is "eleven trillion, one hundred twenty-three billion, two hundred forty million, two hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 13 26 31 62 107 214 239 403 478 806 1391 2782 3107 3317 6214 6634 7409 14818 25573 43121 51146 86242 96317 192634 332449 539653 664898 792763 1079306 1585526 7015489 10305919 14030978 16729243 20611838 33458486 57742871 115485742 128977067 217480159 257954134 434960318 750657323 1501314646 1676701871 1790029001 3353403742 3580058002 3998289077 7996578154 13800546169 23270377013 27601092338 46540754026 51977758001 103955516002 179407100197 358814200394 427816931239 855633862478 5561620106107 11123240212214