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1003100020 = 2251316192383
BaseRepresentation
bin111011110010100…
…001011101110100
32120220111202112121
4323302201131310
54023243200040
6243311525324
733600131566
oct7362413564
92526452477
101003100020
1147525098a
1223bb29844
1312ca84210
1497317336
155d0e4c4a
hex3bca1774

1003100020 has 48 divisors (see below), whose sum is σ = 2270903040. Its totient is φ = 369991296.

The previous prime is 1003100017. The next prime is 1003100027. The reversal of 1003100020 is 200013001.

It is a junction number, because it is equal to n+sod(n) for n = 1003099976 and 1003100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003100027) 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, 419749 + ... + 422131.

It is an arithmetic number, because the mean of its divisors is an integer number (47310480).

Almost surely, 21003100020 is an apocalyptic number.

1003100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003100020 is an abundant number, since it is smaller than the sum of its proper divisors (1267803020).

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

1003100020 is a wasteful number, since it uses less digits than its factorization.

1003100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1003100020 is about 31671.7542930606. The cubic root of 1003100020 is about 1001.0322740436.

Adding to 1003100020 its reverse (200013001), we get a palindrome (1203113021).

The spelling of 1003100020 in words is "one billion, three million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1619 2383 3238 4766 6476 8095 9532 11915 16190 21047 23830 30979 32380 42094 47660 61958 84188 105235 123916 154895 210470 309790 420940 619580 3858077 7716154 15432308 19290385 38580770 50155001 77161540 100310002 200620004 250775005 501550010 1003100020