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1040103401 = 17232115657
BaseRepresentation
bin111101111111101…
…011011111101001
32200111010201122012
4331333223133221
54112231302101
6251113005305
734526506301
oct7577533751
92614121565
101040103401
11494125097
122503b3835
1313763bacc
149c1ca601
15614a3bbb
hex3dfeb7e9

1040103401 has 12 divisors (see below), whose sum is σ = 1151259732. Its totient is φ = 936350976.

The previous prime is 1040103359. The next prime is 1040103403. The reversal of 1040103401 is 1043010401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 516380176 + 523723225 = 22724^2 + 22885^2 .

It is not a de Polignac number, because 1040103401 - 222 = 1035909097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1040103403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48836 + ... + 66821.

It is an arithmetic number, because the mean of its divisors is an integer number (95938311).

Almost surely, 21040103401 is an apocalyptic number.

It is an amenable number.

1040103401 is a deficient number, since it is larger than the sum of its proper divisors (111156331).

1040103401 is a wasteful number, since it uses less digits than its factorization.

1040103401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115720 (or 115697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1040103401 is about 32250.6341177968. The cubic root of 1040103401 is about 1013.1929801739.

Adding to 1040103401 its reverse (1043010401), we get a palindrome (2083113802).

The spelling of 1040103401 in words is "one billion, forty million, one hundred three thousand, four hundred one".

Divisors: 1 17 23 391 529 8993 115657 1966169 2660111 45221887 61182553 1040103401