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1282028013 = 3373138433
BaseRepresentation
bin100110001101010…
…0011000111101101
310022100100202211000
41030122203013231
510111144344023
6331114150513
743525026000
oct11432430755
93270322730
101282028013
115a8742692
122b9422439
131757b4976
14c23a3537
1577840243
hex4c6a31ed

1282028013 has 32 divisors (see below), whose sum is σ = 2214944000. Its totient is φ = 732582144.

The previous prime is 1282028003. The next prime is 1282028023. The reversal of 1282028013 is 3108202821.

1282028013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1282028003) and next prime (1282028023).

It is not a de Polignac number, because 1282028013 - 26 = 1282027949 is a prime.

It is a super-2 number, since 2×12820280132 = 3287191652233456338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282028003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59956 + ... + 78477.

It is an arithmetic number, because the mean of its divisors is an integer number (69217000).

Almost surely, 21282028013 is an apocalyptic number.

It is an amenable number.

1282028013 is a deficient number, since it is larger than the sum of its proper divisors (932915987).

1282028013 is an equidigital number, since it uses as much as digits as its factorization.

1282028013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138463 (or 138443 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1282028013 is about 35805.4187658796. The cubic root of 1282028013 is about 1086.3401684598.

The spelling of 1282028013 in words is "one billion, two hundred eighty-two million, twenty-eight thousand, thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 138433 415299 969031 1245897 2907093 3737691 6783217 8721279 20349651 26163837 47482519 61048953 142447557 183146859 427342671 1282028013