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11020121210200 = 2352439449279541
BaseRepresentation
bin1010000001011101001001…
…1010001111110101011000
31110000111212012021001200211
42200113102122033311120
52421023202012211300
635234323534540504
72215114606511614
oct240272232176530
943014765231624
1011020121210200
113569675146a53
12129b934367734
1361c267c5a6ab
142a153b9b0344
151419d2db94ba
hexa05d268fd58

11020121210200 has 96 divisors (see below), whose sum is σ = 25737431940000. Its totient is φ = 4388196556800.

The previous prime is 11020121210171. The next prime is 11020121210201. The reversal of 11020121210200 is 201212102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020121210201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39282430 + ... + 39561970.

It is an arithmetic number, because the mean of its divisors is an integer number (268098249375).

Almost surely, 211020121210200 is an apocalyptic number.

11020121210200 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 11020121210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868715970000).

11020121210200 is an abundant number, since it is smaller than the sum of its proper divisors (14717310729800).

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

11020121210200 is a wasteful number, since it uses less digits than its factorization.

11020121210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280445 (or 280436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11020121210200 its reverse (201212102011), we get a palindrome (11221333312211).

It can be divided in two parts, 1 and 1020121210200, that added together give a palindrome (1020121210201).

The spelling of 11020121210200 in words is "eleven trillion, twenty billion, one hundred twenty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 439 449 878 898 1756 1796 2195 2245 3512 3592 4390 4490 8780 8980 10975 11225 17560 17960 21950 22450 43900 44900 87800 89800 197111 279541 394222 559082 788444 985555 1118164 1397705 1576888 1971110 2236328 2795410 3942220 4927775 5590820 6988525 7884440 9855550 11181640 13977050 19711100 27954100 39422200 55908200 122718499 125513909 245436998 251027818 490873996 502055636 613592495 627569545 981747992 1004111272 1227184990 1255139090 2454369980 2510278180 3067962475 3137847725 4908739960 5020556360 6135924950 6275695450 12271849900 12551390900 24543699800 25102781800 55100606051 110201212102 220402424204 275503030255 440804848408 551006060510 1102012121020 1377515151275 2204024242040 2755030302550 5510060605100 11020121210200