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2130100 = 2252717179
BaseRepresentation
bin1000001000000010110100
311000012221121
420020002310
51021130400
6113353324
724051130
oct10100264
94005847
102130100
111225415
12868844
1359771b
143d63c0
152c121a
hex2080b4

2130100 has 72 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 683520.

The previous prime is 2130061. The next prime is 2130101. The reversal of 2130100 is 10312.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11811 + ... + 11989.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

22130100 is an apocalyptic number.

2130100 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 2130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2130100 is an abundant number, since it is smaller than the sum of its proper divisors (3494540).

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

2130100 is a wasteful number, since it uses less digits than its factorization.

2130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

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

The square root of 2130100 is about 1459.4862109660. The cubic root of 2130100 is about 128.6668486251. Note that the first 3 decimals are identical.

Adding to 2130100 its reverse (10312), we get a palindrome (2140412).

The spelling of 2130100 in words is "two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 179 238 340 350 358 425 476 595 700 716 850 895 1190 1253 1700 1790 2380 2506 2975 3043 3580 4475 5012 5950 6086 6265 8950 11900 12172 12530 15215 17900 21301 25060 30430 31325 42602 60860 62650 76075 85204 106505 125300 152150 213010 304300 426020 532525 1065050 2130100