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1040120133 = 313273157179
BaseRepresentation
bin111101111111101…
…111100101000101
32200111011120120220
4331333233211011
54112232321013
6251113214553
734526606133
oct7577574505
92614146526
101040120133
11494136718
12250401459
13137646600
149c1d2753
15614a8b23
hex3dfef945

1040120133 has 48 divisors (see below), whose sum is σ = 1540537920. Its totient is φ = 623780352.

The previous prime is 1040120131. The next prime is 1040120141. The reversal of 1040120133 is 3310210401.

It is not a de Polignac number, because 1040120133 - 21 = 1040120131 is a prime.

It is a super-3 number, since 3×10401201333 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040120131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5810638 + ... + 5810816.

It is an arithmetic number, because the mean of its divisors is an integer number (32094540).

Almost surely, 21040120133 is an apocalyptic number.

1040120133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1040120133 is a deficient number, since it is larger than the sum of its proper divisors (500417787).

1040120133 is a wasteful number, since it uses less digits than its factorization.

1040120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1040120133 is about 32250.8935225057. The cubic root of 1040120133 is about 1013.1984131767.

Adding to 1040120133 its reverse (3310210401), we get a palindrome (4350330534).

The spelling of 1040120133 in words is "one billion, forty million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 13 39 73 157 169 179 219 471 507 537 949 2041 2327 2847 6123 6981 11461 12337 13067 26533 28103 30251 34383 37011 39201 79599 84309 90753 148993 169871 365339 446979 509613 1096017 1936909 2051519 2208323 4749407 5810727 6154557 6624969 14248221 26669747 80009241 346706711 1040120133