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1320011121 = 3111317473851
BaseRepresentation
bin100111010101101…
…1100010101110001
310101222211111211210
41032223130111301
510200410323441
6334552230333
744465623632
oct11653342561
93358744753
101320011121
11618125990
1230a09b3a9
13180623490
14c744d889
157ad44616
hex4eadc571

1320011121 has 64 divisors (see below), whose sum is σ = 2236502016. Its totient is φ = 680064000.

The previous prime is 1320011107. The next prime is 1320011191. The reversal of 1320011121 is 1211100231.

It is not a de Polignac number, because 1320011121 - 226 = 1252902257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1320011097 and 1320011106.

It is not an unprimeable number, because it can be changed into a prime (1320011191) 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 63 ways as a sum of consecutive naturals, for example, 340846 + ... + 344696.

It is an arithmetic number, because the mean of its divisors is an integer number (34945344).

Almost surely, 21320011121 is an apocalyptic number.

1320011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1320011121 is a deficient number, since it is larger than the sum of its proper divisors (916490895).

1320011121 is a wasteful number, since it uses less digits than its factorization.

1320011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1320011121 is about 36331.9572965729. The cubic root of 1320011121 is about 1096.9643911109.

Adding to 1320011121 its reverse (1211100231), we get a palindrome (2531111352).

The spelling of 1320011121 in words is "one billion, three hundred twenty million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 11 13 17 33 39 47 51 141 143 187 221 429 517 561 611 663 799 1551 1833 2397 2431 3851 6721 7293 8789 10387 11553 20163 26367 31161 42361 50063 65467 114257 127083 150189 180997 196401 342771 542991 550693 720137 851071 1652079 1990967 2160411 2352961 2553213 3076949 5972901 7058883 9230847 9361781 25882571 28085343 33846439 40000337 77647713 101539317 120001011 440003707 1320011121