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11116346121 = 341741919267
BaseRepresentation
bin10100101101001010…
…11111101100001001
31001200201100220010000
422112211133230021
5140231241033441
65035021513213
7542321245236
oct122645375411
931621326100
1011116346121
114794984411
1221a2a12809
1310820723ca
1477651878d
15450dc22b6
hex29695fb09

11116346121 has 40 divisors (see below), whose sum is σ = 17625595680. Its totient is φ = 6957954432.

The previous prime is 11116346099. The next prime is 11116346159. The reversal of 11116346121 is 12164361111.

11116346121 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 634 + 6 + 1 + 21 = 666.

It is not a de Polignac number, because 11116346121 - 219 = 11115821833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11116346921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 567330 + ... + 586596.

It is an arithmetic number, because the mean of its divisors is an integer number (440639892).

Almost surely, 211116346121 is an apocalyptic number.

It is an amenable number.

11116346121 is a deficient number, since it is larger than the sum of its proper divisors (6509249559).

11116346121 is a wasteful number, since it uses less digits than its factorization.

11116346121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19715 (or 19706 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The spelling of 11116346121 in words is "eleven billion, one hundred sixteen million, three hundred forty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 419 459 1257 1377 3771 7123 11313 19267 21369 33939 57801 64107 173403 192321 327539 520209 576963 982617 1560627 2947851 8072873 8843553 24218619 26530659 72655857 137238841 217967571 411716523 653902713 1235149569 3705448707 11116346121