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1353120252 = 223112931901
BaseRepresentation
bin101000010100110…
…1111100111111100
310111022010122000220
41100221233213330
510232344322002
6342134021340
745350222001
oct12051574774
93438118026
101353120252
1163488a300
123191a7850
13187446693
14cb9cb8a8
157dbd47bc
hex50a6f9fc

1353120252 has 36 divisors (see below), whose sum is σ = 3470403048. Its totient is φ = 410036000.

The previous prime is 1353120227. The next prime is 1353120257. The reversal of 1353120252 is 2520213531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353120257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464499 + ... + 467402.

Almost surely, 21353120252 is an apocalyptic number.

1353120252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1353120252 is an abundant number, since it is smaller than the sum of its proper divisors (2117282796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1353120252 is a wasteful number, since it uses less digits than its factorization.

1353120252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931930 (or 931917 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1353120252 is about 36784.7828864056. The cubic root of 1353120252 is about 1106.0602837996.

Adding to 1353120252 its reverse (2520213531), we get a palindrome (3873333783).

The spelling of 1353120252 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 931901 1863802 2795703 3727604 5591406 10250911 11182812 20501822 30752733 41003644 61505466 112760021 123010932 225520042 338280063 451040084 676560126 1353120252