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11311011032200 = 23521145131113921
BaseRepresentation
bin1010010010011000110011…
…0010110110110010001000
31111001022200210210002121221
42210212030302312302020
52440304422311012300
640020112353211424
72245123253300455
oct244461462666210
944038623702557
1011311011032200
113670a77939720
121328196860b74
13640815540919
142b1654c1a82c
1514935a88631a
hexa498ccb6c88

11311011032200 has 96 divisors (see below), whose sum is σ = 28689724588320. Its totient is φ = 4112967680000.

The previous prime is 11311011032171. The next prime is 11311011032201. The reversal of 11311011032200 is 223011011311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11311011032201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99231240 + ... + 99345160.

It is an arithmetic number, because the mean of its divisors is an integer number (298851297795).

Almost surely, 211311011032200 is an apocalyptic number.

11311011032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311011032200 is an abundant number, since it is smaller than the sum of its proper divisors (17378713556120).

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

11311011032200 is a wasteful number, since it uses less digits than its factorization.

11311011032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159079 (or 159070 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11311011032200 its reverse (223011011311), we get a palindrome (11534022043511).

The spelling of 11311011032200 in words is "eleven trillion, three hundred eleven billion, eleven million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 45131 90262 113921 180524 225655 227842 361048 451310 455684 496441 569605 902620 911368 992882 1128275 1139210 1253131 1805240 1985764 2256550 2278420 2482205 2506262 2848025 3971528 4513100 4556840 4964410 5012524 5696050 6265655 9026200 9928820 10025048 11392100 12411025 12531310 19857640 22784200 24822050 25062620 31328275 49644100 50125240 62656550 99288200 125313100 250626200 5141368651 10282737302 20565474604 25706843255 41130949208 51413686510 56555055161 102827373020 113110110322 128534216275 205654746040 226220220644 257068432550 282775275805 452440441288 514136865100 565550551610 1028273730200 1131101103220 1413876379025 2262202206440 2827752758050 5655505516100 11311011032200