Search a number
-
+
2312123300 = 22521923157337
BaseRepresentation
bin1000100111010000…
…0011001110100100
312222010200000220022
42021310003032210
514213400421200
61021232454312
7111203503154
oct21164031644
95863600808
102312123300
11a87151503
125463aa398
132ab02b2c6
1417d106764
15d7eb8885
hex89d033a4

2312123300 has 144 divisors (see below), whose sum is σ = 5562560640. Its totient is φ = 830269440.

The previous prime is 2312123293. The next prime is 2312123309. The reversal of 2312123300 is 33212132.

It is not an unprimeable number, because it can be changed into a prime (2312123309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6860732 + ... + 6861068.

Almost surely, 22312123300 is an apocalyptic number.

2312123300 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 2312123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781280320).

2312123300 is an abundant number, since it is smaller than the sum of its proper divisors (3250437340).

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

2312123300 is a wasteful number, since it uses less digits than its factorization.

2312123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2312123300 is about 48084.5432545636. The cubic root of 2312123300 is about 1322.3213095193.

Adding to 2312123300 its reverse (33212132), we get a palindrome (2345335432).

The spelling of 2312123300 in words is "two billion, three hundred twelve million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 157 190 230 314 337 380 437 460 475 575 628 674 785 874 950 1150 1348 1570 1685 1748 1900 2185 2300 2983 3140 3370 3611 3925 4370 5966 6403 6740 7222 7751 7850 8425 8740 10925 11932 12806 14444 14915 15502 15700 16850 18055 21850 25612 29830 31004 32015 33700 36110 38755 43700 52909 59660 64030 68609 72220 74575 77510 90275 105818 128060 137218 147269 149150 155020 160075 180550 193775 211636 264545 274436 294538 298300 320150 343045 361100 387550 529090 589076 640300 686090 736345 775100 1005271 1058180 1216907 1322725 1372180 1472690 1715225 2010542 2433814 2645450 2945380 3430450 3681725 4021084 4867628 5026355 5290900 6084535 6860900 7363450 10052710 12169070 14726900 20105420 23121233 24338140 25131775 30422675 46242466 50263550 60845350 92484932 100527100 115606165 121690700 231212330 462424660 578030825 1156061650 2312123300