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1003402113 = 37385312401
BaseRepresentation
bin111011110011101…
…011001110000001
32120221002002221020
4323303223032001
54023332331423
6243322220053
733602530410
oct7363531601
92527062836
101003402113
1147543794a
12240054629
1312cb5b87c
1497395477
155d1544e3
hex3bceb381

1003402113 has 16 divisors (see below), whose sum is σ = 1529513856. Its totient is φ = 573177600.

The previous prime is 1003402093. The next prime is 1003402123. The reversal of 1003402113 is 3112043001.

It is not a de Polignac number, because 1003402113 - 210 = 1003401089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1003402092 and 1003402101.

It is not an unprimeable number, because it can be changed into a prime (1003402123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74713 + ... + 87113.

It is an arithmetic number, because the mean of its divisors is an integer number (95594616).

Almost surely, 21003402113 is an apocalyptic number.

It is an amenable number.

1003402113 is a deficient number, since it is larger than the sum of its proper divisors (526111743).

1003402113 is a wasteful number, since it uses less digits than its factorization.

1003402113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264.

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

The square root of 1003402113 is about 31676.5230573054. The cubic root of 1003402113 is about 1001.1327540504.

Adding to 1003402113 its reverse (3112043001), we get a palindrome (4115445114).

The spelling of 1003402113 in words is "one billion, three million, four hundred two thousand, one hundred thirteen".

Divisors: 1 3 7 21 3853 11559 12401 26971 37203 80913 86807 260421 47781053 143343159 334467371 1003402113