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1311301323 = 322329613581
BaseRepresentation
bin100111000101000…
…1101111011001011
310101101110000020200
41032022031323023
510141143120243
6334041423243
744331606633
oct11612157313
93341400220
101311301323
11613217102
1230719ab23
1317b893c57
14c62236c3
157a1c3ad3
hex4e28decb

1311301323 has 48 divisors (see below), whose sum is σ = 2078706240. Its totient is φ = 793900800.

The previous prime is 1311301301. The next prime is 1311301331. The reversal of 1311301323 is 3231031131.

It is a happy number.

1311301323 is a `hidden beast` number, since 1 + 311 + 30 + 1 + 323 = 666.

It is not a de Polignac number, because 1311301323 - 25 = 1311301291 is a prime.

It is a super-2 number, since 2×13113013232 = 3439022319403100658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311301296 and 1311301305.

It is not an unprimeable number, because it can be changed into a prime (1311302323) 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, 364393 + ... + 367973.

It is an arithmetic number, because the mean of its divisors is an integer number (43306380).

Almost surely, 21311301323 is an apocalyptic number.

1311301323 is a deficient number, since it is larger than the sum of its proper divisors (767404917).

1311301323 is a wasteful number, since it uses less digits than its factorization.

1311301323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3697 counting only the distinct ones).

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

The square root of 1311301323 is about 36211.8947722982. The cubic root of 1311301323 is about 1094.5463736832.

Adding to 1311301323 its reverse (3231031131), we get a palindrome (4542332454).

The spelling of 1311301323 in words is "one billion, three hundred eleven million, three hundred one thousand, three hundred twenty-three".

Divisors: 1 3 9 23 29 61 69 87 183 207 261 549 667 1403 1769 2001 3581 4209 5307 6003 10743 12627 15921 32229 40687 82363 103849 122061 218441 247089 311547 366183 655323 741267 934641 1965969 2388527 5024143 6334789 7165581 15072429 19004367 21496743 45217287 57013101 145700147 437100441 1311301323