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2830103000 = 235315111873
BaseRepresentation
bin1010100010101111…
…1111000111011000
321022020100010110122
42220223333013120
521244001244000
61144454532412
7130063323104
oct25053770730
97266303418
102830103000
1112225792aa
1266b967108
1336143a07a
141cbc1c904
151186d4085
hexa8aff1d8

2830103000 has 64 divisors (see below), whose sum is σ = 6630361920. Its totient is φ = 1130688000.

The previous prime is 2830102997. The next prime is 2830103053. The reversal of 2830103000 is 3010382.

It is a self number, because there is not a number n which added to its sum of digits gives 2830103000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1510064 + ... + 1511936.

It is an arithmetic number, because the mean of its divisors is an integer number (103599405).

Almost surely, 22830103000 is an apocalyptic number.

2830103000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315180960).

2830103000 is an abundant number, since it is smaller than the sum of its proper divisors (3800258920).

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

2830103000 is a wasteful number, since it uses less digits than its factorization.

2830103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2830103000 is about 53198.7123904329. The cubic root of 2830103000 is about 1414.4928197683.

Adding to 2830103000 its reverse (3010382), we get a palindrome (2833113382).

The spelling of 2830103000 in words is "two billion, eight hundred thirty million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1511 1873 3022 3746 6044 7492 7555 9365 12088 14984 15110 18730 30220 37460 37775 46825 60440 74920 75550 93650 151100 187300 188875 234125 302200 374600 377750 468250 755500 936500 1511000 1873000 2830103 5660206 11320412 14150515 22640824 28301030 56602060 70752575 113204120 141505150 283010300 353762875 566020600 707525750 1415051500 2830103000