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11333300121 = 32111317517999
BaseRepresentation
bin10101000111000010…
…00110111110011001
31002020211121022001100
422203201012332121
5141202311100441
65112331542013
7550564314213
oct124341067631
932224538040
1011333300121
114896397140
1222435ba909
1310b7cb4560
147972715b3
15464e79cb6
hex2a3846f99

11333300121 has 48 divisors (see below), whose sum is σ = 20363616000. Its totient is φ = 5967336960.

The previous prime is 11333300107. The next prime is 11333300141. The reversal of 11333300121 is 12100333311.

It is a happy number.

11333300121 is a `hidden beast` number, since 11 + 333 + 300 + 1 + 21 = 666.

11333300121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11333300121 - 211 = 11333298073 is a prime.

It is a super-2 number, since 2×113333001212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11333300094 and 11333300103.

It is not an unprimeable number, because it can be changed into a prime (11333300141) by changing a digit.

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, 237121 + ... + 280878.

It is an arithmetic number, because the mean of its divisors is an integer number (424242000).

Almost surely, 211333300121 is an apocalyptic number.

11333300121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11333300121 is a deficient number, since it is larger than the sum of its proper divisors (9030315879).

11333300121 is a wasteful number, since it uses less digits than its factorization.

11333300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518046 (or 518043 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11333300121 its reverse (12100333311), we get a palindrome (23433633432).

The spelling of 11333300121 in words is "eleven billion, three hundred thirty-three million, three hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 7293 21879 517999 1553997 4661991 5697989 6733987 8805983 17093967 20201961 26417949 51281901 60605883 74073857 79253847 96865813 114477779 222221571 290597439 343433337 666664713 871792317 1030300011 1259255569 3777766707 11333300121