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11011658013 = 3217113636917
BaseRepresentation
bin10100100000101100…
…01001000100011101
31001102102101012000200
422100112021010131
5140022441024023
65020402014113
7536610356136
oct122026110435
931372335020
1011011658013
114740880714
122173947339
131066479a95
14766666c8d
15446ae3743
hex29058911d

11011658013 has 24 divisors (see below), whose sum is σ = 16990424568. Its totient is φ = 6848120832.

The previous prime is 11011658011. The next prime is 11011658027. The reversal of 11011658013 is 31085611011.

It is a happy number.

11011658013 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 658 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2292207129 + 8719450884 = 47877^2 + 93378^2 .

It is not a de Polignac number, because 11011658013 - 21 = 11011658011 is a prime.

It is a super-2 number, since 2×110116580132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011658011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301170 + ... + 335747.

It is an arithmetic number, because the mean of its divisors is an integer number (707934357).

Almost surely, 211011658013 is an apocalyptic number.

It is an amenable number.

11011658013 is a deficient number, since it is larger than the sum of its proper divisors (5978766555).

11011658013 is a wasteful number, since it uses less digits than its factorization.

11011658013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637053 (or 637050 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 11011658013 in words is "eleven billion, eleven million, six hundred fifty-eight thousand, thirteen".

Divisors: 1 3 9 17 51 113 153 339 1017 1921 5763 17289 636917 1910751 5732253 10827589 32482767 71971621 97448301 215914863 647744589 1223517557 3670552671 11011658013