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120401333 = 134325009
BaseRepresentation
bin1110010110100…
…10110110110101
322101120000120122
413023102312311
5221310320313
615540341325
72661252203
oct713226665
9271500518
10120401333
1161a66338
12343a4845
131bc377c0
1411dc2073
15a884708
hex72d2db5

120401333 has 12 divisors (see below), whose sum is σ = 132775020. Its totient is φ = 108533376.

The previous prime is 120401329. The next prime is 120401339. The reversal of 120401333 is 333104021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35724529 + 84676804 = 5977^2 + 9202^2 .

It is not a de Polignac number, because 120401333 - 22 = 120401329 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401339) 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, 21533 + ... + 26541.

It is an arithmetic number, because the mean of its divisors is an integer number (11064585).

Almost surely, 2120401333 is an apocalyptic number.

120401333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120401333 is a deficient number, since it is larger than the sum of its proper divisors (12373687).

120401333 is an equidigital number, since it uses as much as digits as its factorization.

120401333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 120401333 is about 10972.7541210035. The cubic root of 120401333 is about 493.7916764906.

Adding to 120401333 its reverse (333104021), we get a palindrome (453505354).

The spelling of 120401333 in words is "one hundred twenty million, four hundred one thousand, three hundred thirty-three".

Divisors: 1 13 43 559 1849 5009 24037 65117 215387 2800031 9261641 120401333