Search a number
-
+
11303213232300 = 223521110133913031
BaseRepresentation
bin1010010001111011110000…
…0000100111000010101100
31111000120120100211211010020
42210132330000213002230
52440142440041413200
640012342515242140
72244426106140123
oct244367400470254
944016510754106
1011303213232300
1136687362171a0
12132677b2a9350
1363cb71b75342
142b1115348aba
15149050ecbea0
hexa47bc0270ac

11303213232300 has 144 divisors (see below), whose sum is σ = 36030290413824. Its totient is φ = 2713042400000.

The previous prime is 11303213232281. The next prime is 11303213232313. The reversal of 11303213232300 is 323231230311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16623216 + ... + 17289815.

It is an arithmetic number, because the mean of its divisors is an integer number (250210350096).

Almost surely, 211303213232300 is an apocalyptic number.

11303213232300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11303213232300 is an abundant number, since it is smaller than the sum of its proper divisors (24727077181524).

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

11303213232300 is a wasteful number, since it uses less digits than its factorization.

11303213232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33913160 (or 33913153 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11303213232300 its reverse (323231230311), we get a palindrome (11626444462611).

The spelling of 11303213232300 in words is "eleven trillion, three hundred three billion, two hundred thirteen million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 33913031 67826062 101739093 135652124 169565155 203478186 339130310 373043341 406956372 508695465 678260620 746086682 847825775 1017390930 1119130023 1492173364 1695651550 1865216705 2034781860 2238260046 2543477325 3391303100 3425216131 3730433410 4476520092 5086954650 5595650115 6850432262 7460866820 9326083525 10173909300 10275648393 11191300230 13700864524 17126080655 18652167050 20551296786 22382600460 27978250575 34252161310 37304334100 37677377441 41102593572 51378241965 55956501150 68504322620 75354754882 85630403275 102756483930 111913002300 113032132323 150709509764 171260806550 188386887205 205512967860 226064264646 256891209825 342521613100 376773774410 452128529292 513782419650 565160661615 753547548820 941934436025 1027564839300 1130321323230 1883868872050 2260642646460 2825803308075 3767737744100 5651606616150 11303213232300