Search a number
-
+
2123030100 = 2235210170067
BaseRepresentation
bin111111010001010…
…1101111001010100
312110221212002210110
41332202231321110
513321443430400
6550355523020
7103416313062
oct17642557124
95427762713
102123030100
1199a438a34
124b2bb9470
1327aac2539
14161d63032
15c65b5e50
hex7e8ade54

2123030100 has 72 divisors (see below), whose sum is σ = 6203540448. Its totient is φ = 560528000.

The previous prime is 2123030093. The next prime is 2123030149. The reversal of 2123030100 is 10303212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4734 + ... + 65333.

It is an arithmetic number, because the mean of its divisors is an integer number (86160284).

Almost surely, 22123030100 is an apocalyptic number.

2123030100 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 2123030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101770224).

2123030100 is an abundant number, since it is smaller than the sum of its proper divisors (4080510348).

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

2123030100 is a wasteful number, since it uses less digits than its factorization.

2123030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70185 (or 70178 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2123030100 is about 46076.3507669607. The cubic root of 2123030100 is about 1285.2434044610.

Adding to 2123030100 its reverse (10303212), we get a palindrome (2133333312).

The spelling of 2123030100 in words is "two billion, one hundred twenty-three million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 70067 140134 210201 280268 350335 420402 700670 840804 1051005 1401340 1751675 2102010 3503350 4204020 5255025 7006700 7076767 10510050 14153534 21020100 21230301 28307068 35383835 42460602 70767670 84921204 106151505 141535340 176919175 212303010 353838350 424606020 530757525 707676700 1061515050 2123030100