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11230311223300 = 22521324229157133
BaseRepresentation
bin1010001101101100001010…
…1101100001000000000100
31110202121101200212001021211
42203123002231201000010
52432444134133121200
635515044520221204
72236235403241621
oct243330255410004
943677350761254
1011230311223300
11363a825a03884
12131461460a804
13636024435700
142ab79b157348
151471d5c31aba
hexa36c2b61004

11230311223300 has 108 divisors (see below), whose sum is σ = 26394981199020. Its totient is φ = 4145569559040.

The previous prime is 11230311223289. The next prime is 11230311223381. The reversal of 11230311223300 is 332211303211.

It can be written as a sum of positive squares in 18 ways, for example, as 9810438794244 + 1419872429056 = 3132162^2 + 1191584^2 .

It is a super-2 number, since 2×112303112233002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71391534 + ... + 71548666.

It is an arithmetic number, because the mean of its divisors is an integer number (244397974065).

Almost surely, 211230311223300 is an apocalyptic number.

11230311223300 is a gapful number since it is divisible by the number (10) 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 11230311223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197490599510).

11230311223300 is an abundant number, since it is smaller than the sum of its proper divisors (15164669975720).

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

11230311223300 is a wasteful number, since it uses less digits than its factorization.

11230311223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161402 (or 161382 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11230311223300 its reverse (332211303211), we get a palindrome (11562522526511).

The spelling of 11230311223300 in words is "eleven trillion, two hundred thirty billion, three hundred eleven million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 4229 8450 8458 16900 16916 21145 42290 54977 84580 105725 109954 157133 211450 219908 274885 314266 422900 549770 628532 714701 785665 1099540 1374425 1429402 1571330 2042729 2748850 2858804 3142660 3573505 3928325 4085458 5497700 7147010 7856650 8170916 10213645 14294020 15713300 17867525 20427290 26555477 35735050 40854580 51068225 53110954 71470100 102136450 106221908 132777385 204272900 265554770 531109540 663886925 664515457 1327773850 1329030914 2655547700 2658061828 3322577285 6645154570 8638700941 13290309140 16612886425 17277401882 33225772850 34554803764 43193504705 66451545700 86387009410 112303112233 172774018820 215967523525 224606224466 431935047050 449212448932 561515561165 863870094100 1123031122330 2246062244660 2807577805825 5615155611650 11230311223300