Search a number
-
+
11322012102000 = 243531887002017
BaseRepresentation
bin1010010011000001110010…
…0000100110110101110000
31111002101002111020100100120
42210300130200212311300
52440444440044231000
640025132140250240
72245663004660325
oct244603440466560
944071074210316
1011322012102000
113675702738246
12132a346b40980
13641879751192
142b1db9cc8b4c
151497a15876a0
hexa4c1c826d70

11322012102000 has 80 divisors (see below), whose sum is σ = 36502167036192. Its totient is φ = 3019203225600.

The previous prime is 11322012101957. The next prime is 11322012102001. The reversal of 11322012102000 is 20121022311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322012102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943495009 + ... + 943507008.

Almost surely, 211322012102000 is an apocalyptic number.

11322012102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322012102000 is an abundant number, since it is smaller than the sum of its proper divisors (25180154934192).

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

11322012102000 is a wasteful number, since it uses less digits than its factorization.

11322012102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887002043 (or 1887002027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11322012102000 its reverse (20121022311), we get a palindrome (11342133124311).

The spelling of 11322012102000 in words is "eleven trillion, three hundred twenty-two billion, twelve million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1887002017 3774004034 5661006051 7548008068 9435010085 11322012102 15096016136 18870020170 22644024204 28305030255 30192032272 37740040340 45288048408 47175050425 56610060510 75480080680 90576096816 94350100850 113220121020 141525151275 150960161360 188700201700 226440242040 235875252125 283050302550 377400403400 452880484080 471750504250 566100605100 707625756375 754800806800 943501008500 1132201210200 1415251512750 1887002017000 2264402420400 2830503025500 3774004034000 5661006051000 11322012102000