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2830020100 = 225229975869
BaseRepresentation
bin1010100010101110…
…1010111000000100
321022020011220202021
42220223222320010
521243441120400
61144453052524
7130062526315
oct25053527004
97266156667
102830020100
111222521a96
1266b927144
1336140b40b
141cbbda60c
151186b971a
hexa8aeae04

2830020100 has 36 divisors (see below), whose sum is σ = 6352913700. Its totient is φ = 1092972160.

The previous prime is 2830020059. The next prime is 2830020143. The reversal of 2830020100 is 10200382.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14868736 + 2815151364 = 3856^2 + 53058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485035 + ... + 490834.

It is an arithmetic number, because the mean of its divisors is an integer number (176469825).

Almost surely, 22830020100 is an apocalyptic number.

2830020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2830020100 is an abundant number, since it is smaller than the sum of its proper divisors (3522893600).

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

2830020100 is a wasteful number, since it uses less digits than its factorization.

2830020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975912 (or 975905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2830020100 is about 53197.9332305307. The cubic root of 2830020100 is about 1414.4790084217.

Adding to 2830020100 its reverse (10200382), we get a palindrome (2840220482).

It can be divided in two parts, 28300 and 20100, that added together give a square (48400 = 2202).

The spelling of 2830020100 in words is "two billion, eight hundred thirty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 975869 1951738 3903476 4879345 9758690 19517380 24396725 28300201 48793450 56600402 97586900 113200804 141501005 283002010 566004020 707505025 1415010050 2830020100