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1335106413 = 321131312789
BaseRepresentation
bin100111110010100…
…0001101101101101
310110001020102200200
41033211001231231
510213241401123
6340251544113
745041134344
oct11745015555
93401212620
101335106413
116256a6233
1231315b039
131837aa2c4
14c945cb5b
157c327143
hex4f941b6d

1335106413 has 12 divisors (see below), whose sum is σ = 1945554780. Its totient is φ = 882193536.

The previous prime is 1335106403. The next prime is 1335106427. The reversal of 1335106413 is 3146015331.

1335106413 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 10 + 641 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 707453604 + 627652809 = 26598^2 + 25053^2 .

It is not a de Polignac number, because 1335106413 - 24 = 1335106397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335106403) 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 11 ways as a sum of consecutive naturals, for example, 655378 + ... + 657411.

It is an arithmetic number, because the mean of its divisors is an integer number (162129565).

Almost surely, 21335106413 is an apocalyptic number.

It is an amenable number.

1335106413 is a deficient number, since it is larger than the sum of its proper divisors (610448367).

1335106413 is a wasteful number, since it uses less digits than its factorization.

1335106413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312908 (or 1312905 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1335106413 is about 36539.1079940384. The cubic root of 1335106413 is about 1101.1300818667.

The spelling of 1335106413 in words is "one billion, three hundred thirty-five million, one hundred six thousand, four hundred thirteen".

Divisors: 1 3 9 113 339 1017 1312789 3938367 11815101 148345157 445035471 1335106413