Search a number
-
+
1004120103 = 37237318313
BaseRepresentation
bin111011110110011…
…010100000100111
32120222102120211110
4323312122200213
54024023320403
6243345440103
733611610600
oct7366324047
92528376743
101004120103
11475888328
12240340033
1313005060c
1497500da7
155d247103
hex3bd9a827

1004120103 has 24 divisors (see below), whose sum is σ = 1561671408. Its totient is φ = 572213376.

The previous prime is 1004120087. The next prime is 1004120119. The reversal of 1004120103 is 3010214001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1004120087) and next prime (1004120119).

It is not a de Polignac number, because 1004120103 - 24 = 1004120087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004120123) 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 23 ways as a sum of consecutive naturals, for example, 45675 + ... + 63987.

It is an arithmetic number, because the mean of its divisors is an integer number (65069642).

Almost surely, 21004120103 is an apocalyptic number.

1004120103 is a deficient number, since it is larger than the sum of its proper divisors (557551305).

1004120103 is a wasteful number, since it uses less digits than its factorization.

1004120103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18703 (or 18696 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1004120103 is about 31687.8541873696. The cubic root of 1004120103 is about 1001.3714858334.

Adding to 1004120103 its reverse (3010214001), we get a palindrome (4014334104).

The spelling of 1004120103 in words is "one billion, four million, one hundred twenty thousand, one hundred three".

Divisors: 1 3 7 21 49 147 373 1119 2611 7833 18277 18313 54831 54939 128191 384573 897337 2692011 6830749 20492247 47815243 143445729 334706701 1004120103