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1320231121 = 11218775813
BaseRepresentation
bin100111010110001…
…0010000011010001
310102000020200121221
41032230102003101
510200434343441
6335001045041
744500531216
oct11654220321
93360220557
101320231121
11618266200
1230a186781
1318069c661
14c74a9b0d
157ad898d1
hex4eb120d1

1320231121 has 12 divisors (see below), whose sum is σ = 1452186036. Its totient is φ = 1199364320.

The previous prime is 1320231109. The next prime is 1320231179. The reversal of 1320231121 is 1211320231.

It can be written as a sum of positive squares in 2 ways, for example, as 872316225 + 447914896 = 29535^2 + 21164^2 .

It is not a de Polignac number, because 1320231121 - 27 = 1320230993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1320231095 and 1320231104.

It is not an unprimeable number, because it can be changed into a prime (1320231191) 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 11 ways as a sum of consecutive naturals, for example, 224211 + ... + 230023.

It is an arithmetic number, because the mean of its divisors is an integer number (121015503).

Almost surely, 21320231121 is an apocalyptic number.

1320231121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1320231121 is a deficient number, since it is larger than the sum of its proper divisors (131954915).

1320231121 is a wasteful number, since it uses less digits than its factorization.

1320231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1320231121 is about 36334.9848080332. The cubic root of 1320231121 is about 1097.0253296783.

Adding to 1320231121 its reverse (1211320231), we get a palindrome (2531551352).

It can be divided in two parts, 1320231 and 121, that multiplied together give a palindrome (159747951).

The spelling of 1320231121 in words is "one billion, three hundred twenty million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 11 121 1877 5813 20647 63943 227117 703373 10911001 120021011 1320231121