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2321132100 = 2235273729873
BaseRepresentation
bin1000101001011001…
…1010101001000100
312222202121201122120
42022112122221010
514223202211400
61022153525540
7111343203660
oct21226325104
95882551576
102321132100
11a912449a1
125494138b0
132acb63961
141803ad8a0
15d8b97ca0
hex8a59aa44

2321132100 has 144 divisors (see below), whose sum is σ = 7882912128. Its totient is φ = 516188160.

The previous prime is 2321132087. The next prime is 2321132119. The reversal of 2321132100 is 12311232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2321132100.

It is an unprimeable number.

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, 62764 + ... + 92636.

Almost surely, 22321132100 is an apocalyptic number.

2321132100 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 2321132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941456064).

2321132100 is an abundant number, since it is smaller than the sum of its proper divisors (5561780028).

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

2321132100 is a wasteful number, since it uses less digits than its factorization.

2321132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29934 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2321132100 is about 48178.1288553219. The cubic root of 2321132100 is about 1324.0364847575.

Adding to 2321132100 its reverse (12311232), we get a palindrome (2333443332).

It can be divided in two parts, 2321132 and 100, that added together give a palindrome (2321232).

The spelling of 2321132100 in words is "two billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 29873 38850 59746 77700 89619 119492 149365 179238 209111 298730 358476 418222 448095 597460 627333 746825 836444 896190 1045555 1105301 1254666 1493650 1792380 2091110 2210602 2240475 2509332 2987300 3136665 3315903 4182220 4421204 4480950 5227775 5526505 6273330 6631806 7737107 8961900 10455550 11053010 12546660 13263612 15474214 15683325 16579515 20911100 22106020 23211321 27632525 30948428 31366650 33159030 38685535 46422642 55265050 62733300 66318060 77371070 82897575 92845284 110530100 116056605 154742140 165795150 193427675 232113210 331590300 386855350 464226420 580283025 773710700 1160566050 2321132100