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2321001300 = 22352232631279
BaseRepresentation
bin1000101001010111…
…1010101101010100
312222202101002020010
42022111322231110
514223134020200
61022151040220
7111342120432
oct21225725524
95882332203
102321001300
11a911656a2
12549370070
132acb19267
14180377d52
15d8b6e150
hex8a57ab54

2321001300 has 144 divisors (see below), whose sum is σ = 7039549440. Its totient is φ = 589311360.

The previous prime is 2321001251. The next prime is 2321001301. The reversal of 2321001300 is 31001232.

It is a happy number.

2321001300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814061 + ... + 1815339.

It is an arithmetic number, because the mean of its divisors is an integer number (48885760).

Almost surely, 22321001300 is an apocalyptic number.

2321001300 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 2321001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519774720).

2321001300 is an abundant number, since it is smaller than the sum of its proper divisors (4718548140).

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

2321001300 is a wasteful number, since it uses less digits than its factorization.

2321001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1575 counting only the distinct ones).

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

The square root of 2321001300 is about 48176.7713737648. The cubic root of 2321001300 is about 1324.0116136719.

Adding to 2321001300 its reverse (31001232), we get a palindrome (2352002532).

The spelling of 2321001300 in words is "two billion, three hundred twenty-one million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 263 276 300 345 460 526 575 690 789 1052 1150 1279 1315 1380 1578 1725 2300 2558 2630 3156 3450 3837 3945 5116 5260 6049 6395 6575 6900 7674 7890 12098 12790 13150 15348 15780 18147 19185 19725 24196 25580 26300 29417 30245 31975 36294 38370 39450 58834 60490 63950 72588 76740 78900 88251 90735 95925 117668 120980 127900 147085 151225 176502 181470 191850 294170 302450 336377 353004 362940 383700 441255 453675 588340 604900 672754 735425 882510 907350 1009131 1345508 1470850 1681885 1765020 1814700 2018262 2206275 2941700 3363770 4036524 4412550 5045655 6727540 7736671 8409425 8825100 10091310 15473342 16818850 20182620 23210013 25228275 30946684 33637700 38683355 46420026 50456550 77366710 92840052 100913100 116050065 154733420 193416775 232100130 386833550 464200260 580250325 773667100 1160500650 2321001300