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1333202121 = 325310127673
BaseRepresentation
bin100111101110111…
…0000110011001001
310102220122200111100
41033131300303021
510212244431441
6340143052013
745016013436
oct11735606311
93386580440
101333202121
11624615539
123125a1009
131832915c4
14c90c4b8d
157c09ccb6
hex4f770cc9

1333202121 has 24 divisors (see below), whose sum is σ = 1981569096. Its totient is φ = 863366400.

The previous prime is 1333202071. The next prime is 1333202159. The reversal of 1333202121 is 1212023331.

1333202121 is a `hidden beast` number, since 133 + 320 + 212 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256640400 + 1076561721 = 16020^2 + 32811^2 .

It is not a de Polignac number, because 1333202121 - 221 = 1331104969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1333202094 and 1333202103.

It is not an unprimeable number, because it can be changed into a prime (1333202821) 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 23 ways as a sum of consecutive naturals, for example, 34341 + ... + 62013.

It is an arithmetic number, because the mean of its divisors is an integer number (82565379).

Almost surely, 21333202121 is an apocalyptic number.

It is an amenable number.

1333202121 is a deficient number, since it is larger than the sum of its proper divisors (648366975).

1333202121 is a wasteful number, since it uses less digits than its factorization.

1333202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27833 (or 27830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1333202121 is about 36513.0404239362. The cubic root of 1333202121 is about 1100.6063106489.

Adding to 1333202121 its reverse (1212023331), we get a palindrome (2545225452).

The spelling of 1333202121 in words is "one billion, three hundred thirty-three million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 53 101 159 303 477 909 5353 16059 27673 48177 83019 249057 1466669 2794973 4400007 8384919 13200021 25154757 148133569 444400707 1333202121