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11060111106 = 232111372811451
BaseRepresentation
bin10100100110011101…
…11110011100000010
31001112210112212011200
422103032332130002
5140122342023411
65025252322030
7541036251612
oct122316763402
931483485150
1011060111106
1147661651a0
122188013316
131073513055
1476cc7aa42
1544aeb4e56
hex2933be702

11060111106 has 96 divisors (see below), whose sum is σ = 26444822976. Its totient is φ = 3312960000.

The previous prime is 11060111053. The next prime is 11060111113. The reversal of 11060111106 is 60111106011.

11060111106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7621681 + ... + 7623131.

It is an arithmetic number, because the mean of its divisors is an integer number (275466906).

Almost surely, 211060111106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11060111106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222411488).

11060111106 is an abundant number, since it is smaller than the sum of its proper divisors (15384711870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11060111106 is a wasteful number, since it uses less digits than its factorization.

11060111106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1885 counting only the distinct ones).

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

Adding to 11060111106 its reverse (60111106011), we get a palindrome (71171217117).

The spelling of 11060111106 in words is "eleven billion, sixty million, one hundred eleven thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 281 411 562 822 843 1233 1451 1507 1686 2466 2529 2902 3014 3091 4353 4521 5058 6182 8706 9042 9273 13059 13563 15961 18546 26118 27126 27819 31922 38497 47883 55638 76994 95766 115491 143649 198787 230982 287298 346473 397574 407731 423467 596361 692946 815462 846934 1192722 1223193 1270401 1789083 2186657 2446386 2540802 3578166 3669579 3811203 4373314 4485041 6559971 7339158 7622406 8970082 13119942 13455123 19679913 26910246 39359826 40365369 55859147 80730738 111718294 167577441 335154882 502732323 614450617 1005464646 1228901234 1843351851 3686703702 5530055553 11060111106