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231221003300 = 225272333614273
BaseRepresentation
bin1101011101010111011…
…0001000010000100100
3211002211012002222111222
43113111312020100210
512242020034101200
6254115500315512
722463605046150
oct3272566102044
9732735088458
10231221003300
118a073257071
123898b542b98
1318a5b650721
14b296766060
156034386d85
hex35d5d88424

231221003300 has 144 divisors (see below), whose sum is σ = 598677848832. Its totient is φ = 75788697600.

The previous prime is 231221003261. The next prime is 231221003353. The reversal of 231221003300 is 3300122132.

It is a super-2 number, since 2×2312210033002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54109964 + ... + 54114236.

Almost surely, 2231221003300 is an apocalyptic number.

231221003300 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 231221003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299338924416).

231221003300 is an abundant number, since it is smaller than the sum of its proper divisors (367456845532).

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

231221003300 is a wasteful number, since it uses less digits than its factorization.

231221003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7671 counting only the distinct ones).

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

Adding to 231221003300 its reverse (3300122132), we get a palindrome (234521125432).

The spelling of 231221003300 in words is "two hundred thirty-one billion, two hundred twenty-one million, three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 3361 4025 4273 6722 8050 8546 13444 16100 16805 17092 21365 23527 29911 33610 42730 47054 59822 67220 77303 84025 85460 94108 98279 106825 117635 119644 149555 154606 168050 196558 213650 235270 299110 309212 336100 386515 393116 427300 470540 491395 541121 588175 598220 687953 747775 773030 982790 1082242 1176350 1375906 1495550 1546060 1932575 1965580 2164484 2352700 2456975 2705605 2751812 2991100 3439765 3865150 4913950 5411210 6879530 7730300 9827900 10822420 13528025 13759060 14361553 17198825 27056050 28723106 34397650 54112100 57446212 68795300 71807765 100530871 143615530 201061742 287231060 330315719 359038825 402123484 502654355 660631438 718077650 1005308710 1321262876 1436155300 1651578595 2010617420 2312210033 2513271775 3303157190 4624420066 5026543550 6606314380 8257892975 9248840132 10053087100 11561050165 16515785950 23122100330 33031571900 46244200660 57805250825 115610501650 231221003300