Search a number
-
+
11202002021120 = 28517613383939
BaseRepresentation
bin1010001100000010101101…
…0110011110101100000000
31110122220022210002120111012
42203000223112132230000
52432013200004133440
635454043443540052
72234214024060521
oct243005326365400
943586283076435
1011202002021120
113629819118219
12130b03398a628
136334624474c1
142aa2734ba848
151465ca78ee65
hexa302b59eb00

11202002021120 has 144 divisors (see below), whose sum is σ = 28415636736480. Its totient is φ = 4216486428672.

The previous prime is 11202002021083. The next prime is 11202002021167. The reversal of 11202002021120 is 2112020020211.

It is a junction number, because it is equal to n+sod(n) for n = 11202002021095 and 11202002021104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133412111 + ... + 133496049.

It is an arithmetic number, because the mean of its divisors is an integer number (197330810670).

Almost surely, 211202002021120 is an apocalyptic number.

11202002021120 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 11202002021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207818368240).

11202002021120 is an abundant number, since it is smaller than the sum of its proper divisors (17213634715360).

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

11202002021120 is an equidigital number, since it uses as much as digits as its factorization.

11202002021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90110 (or 90096 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11202002021120 its reverse (2112020020211), we get a palindrome (13314022041331).

The spelling of 11202002021120 in words is "eleven trillion, two hundred two billion, two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 6133 10880 12266 21760 24532 30665 49064 61330 83939 98128 104261 122660 167878 196256 208522 245320 335756 392512 417044 419695 490640 521305 671512 785024 834088 839390 981280 1042610 1343024 1426963 1570048 1668176 1678780 1962560 2085220 2686048 2853926 3336352 3357560 3925120 4170440 5372096 5707852 6672704 6715120 7134815 7850240 8340880 10744192 11415704 13345408 13430240 14269630 16681760 21488384 22831408 26690816 26860480 28539260 33363520 45662816 53720960 57078520 66727040 91325632 107441920 114157040 133454080 182651264 228314080 365302528 456628160 514797887 913256320 1029595774 1826512640 2059191548 2573989435 4118383096 5147978870 8236766192 8751564079 10295957740 16473532384 17503128158 20591915480 32947064768 35006256316 41183830960 43757820395 65894129536 70012512632 82367661920 87515640790 131788259072 140025025264 164735323840 175031281580 280050050528 329470647680 350062563160 560100101056 658941295360 700125126320 1120200202112 1400250252640 2240400404224 2800500505280 5601001010560 11202002021120