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1003130004 = 223192328317
BaseRepresentation
bin111011110010101…
…000110010010100
32120220120021200010
4323302220302110
54023300130004
6243312320220
733600315162
oct7362506224
92526507603
101003130004
11475271468
1223bb43070
1312ca94a66
1497324232
155d0eda89
hex3bca8c94

1003130004 has 72 divisors (see below), whose sum is σ = 2575918240. Its totient is φ = 302968512.

The previous prime is 1003130003. The next prime is 1003130017. The reversal of 1003130004 is 4000313001.

1003130004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003130003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116454 + ... + 124770.

Almost surely, 21003130004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003130004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287959120).

1003130004 is an abundant number, since it is smaller than the sum of its proper divisors (1572788236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003130004 is a wasteful number, since it uses less digits than its factorization.

1003130004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1003130004 is about 31672.2276450521. The cubic root of 1003130004 is about 1001.0422480084.

Adding to 1003130004 its reverse (4000313001), we get a palindrome (5003443005).

The spelling of 1003130004 in words is "one billion, three million, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 529 874 1058 1311 1587 1748 2116 2622 3174 5244 6348 8317 10051 16634 20102 24951 30153 33268 40204 49902 60306 99804 120612 158023 191291 316046 382582 474069 573873 632092 765164 948138 1147746 1896276 2295492 3634529 4399693 7269058 8799386 10903587 13199079 14538116 17598772 21807174 26398158 43614348 52796316 83594167 167188334 250782501 334376668 501565002 1003130004