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11130122320033 = 1714936131216177
BaseRepresentation
bin1010000111110110111011…
…1111001011100010100001
31110102000210100202102110211
42201331232333023202201
52424323442303220113
635401035124254121
72226060543514003
oct241755677134241
943360710672424
1011130122320033
113601292984982
1212b9113541341
136297487557b2
142a69b4da2373
151447c0130b3d
hexa1f6efcb8a1

11130122320033 has 16 divisors (see below), whose sum is σ = 11867221688400. Its totient is φ = 10402216022016.

The previous prime is 11130122319947. The next prime is 11130122320073. The reversal of 11130122320033 is 33002322103111.

It can be written as a sum of positive squares in 8 ways, for example, as 1647467230369 + 9482655089664 = 1283537^2 + 3079392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11130122320033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11130122319986 and 11130122320013.

It is not an unprimeable number, because it can be changed into a prime (11130122320073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8543641 + ... + 9759817.

It is an arithmetic number, because the mean of its divisors is an integer number (741701355525).

Almost surely, 211130122320033 is an apocalyptic number.

It is an amenable number.

11130122320033 is a deficient number, since it is larger than the sum of its proper divisors (737099368367).

11130122320033 is a wasteful number, since it uses less digits than its factorization.

11130122320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219956.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11130122320033 its reverse (33002322103111), we get a palindrome (44132444423144).

The spelling of 11130122320033 in words is "eleven trillion, one hundred thirty billion, one hundred twenty-two million, three hundred twenty thousand, thirty-three".

Divisors: 1 17 149 2533 3613 61421 538337 1216177 9151729 20675009 181210373 3080576341 4394047501 74698807517 654713077649 11130122320033