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1311122021 = 11688317317
BaseRepresentation
bin100111000100110…
…0010001001100101
310101101002220021212
41032021202021211
510141121401041
6334033521205
744330232116
oct11611421145
93341086255
101311122021
11613104420
12307113205
1317b830461
14c61b820d
157a18a8eb
hex4e262265

1311122021 has 8 divisors (see below), whose sum is σ = 1430605344. Its totient is φ = 1191687120.

The previous prime is 1311122009. The next prime is 1311122023. The reversal of 1311122021 is 1202211131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311122021 is a prime.

It is a super-4 number, since 4×13111220214 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311121987 and 1311122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67055 + ... + 84371.

It is an arithmetic number, because the mean of its divisors is an integer number (178825668).

Almost surely, 21311122021 is an apocalyptic number.

1311122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311122021 is a deficient number, since it is larger than the sum of its proper divisors (119483323).

1311122021 is a wasteful number, since it uses less digits than its factorization.

1311122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24211.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1311122021 is about 36209.4189541893. The cubic root of 1311122021 is about 1094.4964834721.

Adding to 1311122021 its reverse (1202211131), we get a palindrome (2513333152).

The spelling of 1311122021 in words is "one billion, three hundred eleven million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 11 6883 17317 75713 190487 119192911 1311122021