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1111106061 = 3213311132711
BaseRepresentation
bin100001000111010…
…0010001000001101
32212102202000222100
41002032202020031
54233420343221
6302130505313
736351150162
oct10216421015
92772660870
101111106061
1152021047a
12270135239
1314926bb10
14a77d0069
156782b926
hex423a220d

1111106061 has 48 divisors (see below), whose sum is σ = 1800594432. Its totient is φ = 655603200.

The previous prime is 1111106021. The next prime is 1111106069. The reversal of 1111106061 is 1606011111.

It is not a de Polignac number, because 1111106061 - 29 = 1111105549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111106069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408496 + ... + 411206.

It is an arithmetic number, because the mean of its divisors is an integer number (37512384).

Almost surely, 21111106061 is an apocalyptic number.

It is an amenable number.

1111106061 is a deficient number, since it is larger than the sum of its proper divisors (689488371).

1111106061 is a wasteful number, since it uses less digits than its factorization.

1111106061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1111106061 is about 33333.2575815806. The cubic root of 1111106061 is about 1035.7425994620.

Adding to 1111106061 its reverse (1606011111), we get a palindrome (2717117172).

The spelling of 1111106061 in words is "one billion, one hundred eleven million, one hundred six thousand, sixty-one".

Divisors: 1 3 9 13 31 39 93 113 117 279 339 403 1017 1209 1469 2711 3503 3627 4407 8133 10509 13221 24399 31527 35243 45539 84041 105729 136617 252123 306343 317187 409851 756369 919029 1092533 2757087 3277599 3982459 9496633 9832797 11947377 28489899 35842131 85469697 123456229 370368687 1111106061