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11121021113241 = 31313783911092237
BaseRepresentation
bin1010000111010101000010…
…0000110101001110011001
31110101011022002020012211210
42201311100200311032121
52424201322401110431
635352532050013333
72225316161523264
oct241652040651631
943334262205753
1011121021113241
1135a8442548576
1212b73b3577249
1362892802b630
142a6390363cdb
1514443b111d46
hexa1d50835399

11121021113241 has 64 divisors (see below), whose sum is σ = 16126104153600. Its totient is φ = 6776504457216.

The previous prime is 11121021113161. The next prime is 11121021113249. The reversal of 11121021113241 is 14231112012111.

It is not a de Polignac number, because 11121021113241 - 222 = 11121016918937 is a prime.

It is a super-2 number, since 2×111210211132412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121021113249) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4971398575 + ... + 4971400811.

It is an arithmetic number, because the mean of its divisors is an integer number (251970377400).

Almost surely, 211121021113241 is an apocalyptic number.

It is an amenable number.

11121021113241 is a deficient number, since it is larger than the sum of its proper divisors (5005083040359).

11121021113241 is a wasteful number, since it uses less digits than its factorization.

11121021113241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 11121021113241 its reverse (14231112012111), we get a palindrome (25352133125352).

The spelling of 11121021113241 in words is "eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 13 39 137 411 839 1109 1781 2237 2517 3327 5343 6711 10907 14417 29081 32721 43251 87243 114943 151933 306469 344829 455799 919407 930451 1494259 1876843 1975129 2480833 2791353 3984097 4482777 5630529 5925387 7442499 11952291 12095863 24398959 32250829 36287589 73196877 96752487 127471787 257127491 339874121 382415361 771382473 1019622363 1657133231 2081418887 3342657383 4418363573 4971399693 6244256661 10027972149 13255090719 27058445531 81175336593 285154387519 855463162557 3707007037747 11121021113241