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1311023021 = 7113223631
BaseRepresentation
bin100111000100100…
…1001111110101101
310101100220212111012
41032021021332231
510141110214041
6334031435005
744326340360
oct11611117655
93340825435
101311023021
11613047000
12307085a65
1317b7c7389
14c61900d7
157a16b3eb
hex4e249fad

1311023021 has 32 divisors (see below), whose sum is σ = 1658044416. Its totient is φ = 1015383600.

The previous prime is 1311023003. The next prime is 1311023033. The reversal of 1311023021 is 1203201131.

It is not a de Polignac number, because 1311023021 - 214 = 1311006637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311022987 and 1311023005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311023071) 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 31 ways as a sum of consecutive naturals, for example, 2077376 + ... + 2078006.

It is an arithmetic number, because the mean of its divisors is an integer number (51813888).

Almost surely, 21311023021 is an apocalyptic number.

1311023021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311023021 is a deficient number, since it is larger than the sum of its proper divisors (347021395).

1311023021 is an equidigital number, since it uses as much as digits as its factorization.

1311023021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1311023021 is about 36208.0518807627. The cubic root of 1311023021 is about 1094.4689350879.

Adding to 1311023021 its reverse (1203201131), we get a palindrome (2514224152).

The spelling of 1311023021 in words is "one billion, three hundred eleven million, twenty-three thousand, twenty-one".

Divisors: 1 7 11 77 121 223 631 847 1331 1561 2453 4417 6941 9317 17171 26983 48587 76351 140713 188881 296813 534457 839861 984991 1547843 2077691 5879027 10834901 17026273 119183911 187289003 1311023021