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1003000023 = 3337148149
BaseRepresentation
bin111011110010001…
…001000011010111
32120220022200101000
4323302021003113
54023232000043
6243305434343
733566234214
oct7362110327
92526280330
101003000023
11475192843
1223ba9b9b3
1312ca4a84c
14972ccb0b
155d0c52d3
hex3bc890d7

1003000023 has 8 divisors (see below), whose sum is σ = 1485926000. Its totient is φ = 668666664.

The previous prime is 1003000021. The next prime is 1003000027. The reversal of 1003000023 is 3200003001.

It is a happy number.

It is not a de Polignac number, because 1003000023 - 21 = 1003000021 is a prime.

It is a super-2 number, since 2×10030000232 = 2012018092276001058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002999969 and 1003000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003000021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18574048 + ... + 18574101.

It is an arithmetic number, because the mean of its divisors is an integer number (185740750).

Almost surely, 21003000023 is an apocalyptic number.

1003000023 is a deficient number, since it is larger than the sum of its proper divisors (482925977).

1003000023 is an equidigital number, since it uses as much as digits as its factorization.

1003000023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37148158 (or 37148152 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1003000023 is about 31670.1756073439. The cubic root of 1003000023 is about 1000.9990093147. Note that the first 3 decimals are identical.

Adding to 1003000023 its reverse (3200003001), we get a palindrome (4203003024).

The spelling of 1003000023 in words is "one billion, three million, twenty-three", and thus it is an aban number and an uban number.

Divisors: 1 3 9 27 37148149 111444447 334333341 1003000023