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11330013332200 = 2352675031680961
BaseRepresentation
bin1010010011011111100101…
…1010111000001011101000
31111010010202002221221202211
42210313321122320023220
52441112331403112300
640032534122334504
72246365202213143
oct244677132701350
944103662857684
1011330013332200
113679039175992
12132b9ba65a434
13642553305214
142b25387d305a
15149abdc274ba
hexa4df96b82e8

11330013332200 has 96 divisors (see below), whose sum is σ = 26788617293760. Its totient is φ = 4455485337600.

The previous prime is 11330013332179. The next prime is 11330013332263. The reversal of 11330013332200 is 223331003311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5899720 + ... + 7580680.

It is an arithmetic number, because the mean of its divisors is an integer number (279048096810).

Almost surely, 211330013332200 is an apocalyptic number.

11330013332200 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 11330013332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394308646880).

11330013332200 is an abundant number, since it is smaller than the sum of its proper divisors (15458603961560).

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

11330013332200 is a wasteful number, since it uses less digits than its factorization.

11330013332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681547 (or 1681538 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 11330013332200 its reverse (223331003311), we get a palindrome (11553344335511).

The spelling of 11330013332200 in words is "eleven trillion, three hundred thirty billion, thirteen million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 503 536 670 1006 1340 1675 2012 2515 2680 3350 4024 5030 6700 10060 12575 13400 20120 25150 33701 50300 67402 100600 134804 168505 269608 337010 674020 842525 1348040 1680961 1685050 3361922 3370100 6723844 6740200 8404805 13447688 16809610 33619220 42024025 67238440 84048050 112624387 168096100 225248774 336192200 450497548 563121935 845523383 900995096 1126243870 1691046766 2252487740 2815609675 3382093532 4227616915 4504975480 5631219350 6764187064 8455233830 11262438700 16910467660 21138084575 22524877400 33820935320 42276169150 56650066661 84552338300 113300133322 169104676600 226600266644 283250333305 453200533288 566500666610 1133001333220 1416251666525 2266002666440 2832503333050 5665006666100 11330013332200