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121111222103003 = 11593943421111239
BaseRepresentation
bin11011100010011001100111…
…010111110010101111011011
3120212211010020022012200221202
4123202121213113302233123
5111333241240324244003
61105325421035024415
734336665662210156
oct3342314727625733
9525733208180852
10121111222103003
1135653a875722a0
12117001bb29b10b
13527697c155282
1421c9b58b00c9d
15e005aa419088
hex6e26675f2bdb

121111222103003 has 32 divisors (see below), whose sum is σ = 134438629478400. Its totient is φ = 108172218592800.

The previous prime is 121111222102993. The next prime is 121111222103023. The reversal of 121111222103003 is 300301222111121.

It is a cyclic number.

It is not a de Polignac number, because 121111222103003 - 234 = 121094042233819 is a prime.

It is a super-3 number, since 3×1211112221030033 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121111222103023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10775972858 + ... + 10775984096.

It is an arithmetic number, because the mean of its divisors is an integer number (4201207171200).

Almost surely, 2121111222103003 is an apocalyptic number.

121111222103003 is a deficient number, since it is larger than the sum of its proper divisors (13327407375397).

121111222103003 is a wasteful number, since it uses less digits than its factorization.

121111222103003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19463.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121111222103003 its reverse (300301222111121), we get a palindrome (421412444214124).

The spelling of 121111222103003 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred three thousand, three".

Divisors: 1 11 59 649 3943 4211 11239 43373 46321 123629 232637 248449 663101 2559007 2732939 7294111 16603973 44315377 47327429 182643703 487469147 520601719 979634407 2614607243 2792318311 10775978477 28760679673 30715501421 186612052547 2052732578017 11010111100273 121111222103003