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11103321321 = 34296177489
BaseRepresentation
bin10100101011100111…
…10011110011101001
31001122210212011110000
422111303303303221
5140214422240241
65033434413213
7542102450121
oct122563636351
931583764400
1011103321321
114788598714
12219a591209
13107c461b21
147748c7c81
1544eb9ceb6
hex295cf3ce9

11103321321 has 40 divisors (see below), whose sum is σ = 17439899400. Its totient is φ = 7029711360.

The previous prime is 11103321293. The next prime is 11103321349. The reversal of 11103321321 is 12312330111.

11103321321 is a `hidden beast` number, since 1 + 1 + 10 + 332 + 1 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (11103321293) and next prime (11103321349).

It can be written as a sum of positive squares in 4 ways, for example, as 583947225 + 10519374096 = 24165^2 + 102564^2 .

It is a de Polignac number, because none of the positive numbers 2k-11103321321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11103321294 and 11103321303.

It is not an unprimeable number, because it can be changed into a prime (11103321371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104545 + ... + 182033.

It is an arithmetic number, because the mean of its divisors is an integer number (435997485).

Almost surely, 211103321321 is an apocalyptic number.

It is an amenable number.

11103321321 is a deficient number, since it is larger than the sum of its proper divisors (6336578079).

11103321321 is an equidigital number, since it uses as much as digits as its factorization.

11103321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77591 (or 77582 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103321321 its reverse (12312330111), we get a palindrome (23415651432).

The spelling of 11103321321 in words is "eleven billion, one hundred three million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 29 61 81 87 183 261 549 783 1647 1769 2349 4941 5307 15921 47763 77489 143289 232467 697401 2092203 2247181 4726829 6276609 6741543 14180487 20224629 42541461 60673887 127624383 137078041 182021661 382873149 411234123 1233702369 3701107107 11103321321