Search a number
-
+
2123110300 = 2252293132339
BaseRepresentation
bin111111010001100…
…0001011110011100
312110222000011210211
41332203001132130
513322004012200
6550401342204
7103420065643
oct17643013634
95428004724
102123110300
1199a493213
124b3037964
1327ab1cbac
14161d8435a
15c65ceaba
hex7e8c179c

2123110300 has 72 divisors (see below), whose sum is σ = 4783287600. Its totient is φ = 816990720.

The previous prime is 2123110267. The next prime is 2123110303. The reversal of 2123110300 is 30113212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123110303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906531 + ... + 908869.

It is an arithmetic number, because the mean of its divisors is an integer number (66434550).

Almost surely, 22123110300 is an apocalyptic number.

2123110300 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 2123110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391643800).

2123110300 is an abundant number, since it is smaller than the sum of its proper divisors (2660177300).

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

2123110300 is a wasteful number, since it uses less digits than its factorization.

2123110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2123110300 is about 46077.2210533578. The cubic root of 2123110300 is about 1285.2595881259.

Adding to 2123110300 its reverse (30113212), we get a palindrome (2153223512).

The spelling of 2123110300 in words is "two billion, one hundred twenty-three million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 313 580 626 725 1252 1450 1565 2339 2900 3130 4678 6260 7825 9077 9356 11695 15650 18154 23390 31300 36308 45385 46780 58475 67831 90770 116950 135662 181540 226925 233900 271324 339155 453850 678310 732107 907700 1356620 1464214 1695775 2928428 3391550 3660535 6783100 7321070 14642140 18302675 21231103 36605350 42462206 73210700 84924412 106155515 212311030 424622060 530777575 1061555150 2123110300