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2130102100 = 2252712592417
BaseRepresentation
bin111111011110110…
…1100011101010100
312111110011101202101
41332331230131110
513330301231400
6551211251444
7103533366130
oct17675543524
95443141671
102130102100
119a3429265
124b5449b84
1327c3ca459
14162c843c0
15c701156a
hex7ef6c754

2130102100 has 72 divisors (see below), whose sum is σ = 5289036480. Its totient is φ = 729438720.

The previous prime is 2130102083. The next prime is 2130102157. The reversal of 2130102100 is 12010312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880092 + ... + 882508.

It is an arithmetic number, because the mean of its divisors is an integer number (73458840).

Almost surely, 22130102100 is an apocalyptic number.

2130102100 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 2130102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644518240).

2130102100 is an abundant number, since it is smaller than the sum of its proper divisors (3158934380).

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

2130102100 is a wasteful number, since it uses less digits than its factorization.

2130102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2130102100 is about 46153.0291530253. The cubic root of 2130102100 is about 1286.6689090794.

Adding to 2130102100 its reverse (12010312), we get a palindrome (2142112412).

The spelling of 2130102100 in words is "two billion, one hundred thirty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1259 2417 2518 4834 5036 6295 8813 9668 12085 12590 16919 17626 24170 25180 31475 33838 35252 44065 48340 60425 62950 67676 84595 88130 120850 125900 169190 176260 220325 241700 338380 422975 440650 845950 881300 1691900 3043003 6086006 12172012 15215015 21301021 30430030 42602042 60860060 76075075 85204084 106505105 152150150 213010210 304300300 426020420 532525525 1065051050 2130102100