Search a number
-
+
11303103022220 = 22529491205319333
BaseRepresentation
bin1010010001111011010101…
…1100001100010010001100
31111000120021200110120022102
42210132311130030102030
52440142223333202340
640012323541134232
72244423300312002
oct244366534142214
944016250416272
1011303103022220
113668689a91789
12132674a3ba378
1363cb55098489
142b110485aa72
151490464ac215
hexa47b570c48c

11303103022220 has 96 divisors (see below), whose sum is σ = 24618285357120. Its totient is φ = 4354098416640.

The previous prime is 11303103022171. The next prime is 11303103022229. The reversal of 11303103022220 is 2222030130311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11303103022192 and 11303103022201.

It is not an unprimeable number, because it can be changed into a prime (11303103022229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584643674 + ... + 584663006.

It is an arithmetic number, because the mean of its divisors is an integer number (256440472470).

Almost surely, 211303103022220 is an apocalyptic number.

11303103022220 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 11303103022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12309142678560).

11303103022220 is an abundant number, since it is smaller than the sum of its proper divisors (13315182334900).

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

11303103022220 is a wasteful number, since it uses less digits than its factorization.

11303103022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21915 (or 21913 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11303103022220 its reverse (2222030130311), we get a palindrome (13525133152531).

The spelling of 11303103022220 in words is "eleven trillion, three hundred three billion, one hundred three million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 491 580 982 1964 2053 2455 4106 4910 8212 9820 10265 14239 19333 20530 28478 38666 41060 56956 59537 71195 77332 96665 119074 142390 193330 238148 284780 297685 386660 560657 595370 1008023 1121314 1190740 2016046 2242628 2803285 4032092 5040115 5606570 9492503 10080230 11213140 18985006 20160460 29232667 37970012 39690649 47462515 58465334 79381298 94925030 116930668 146163335 158762596 189850060 198453245 275282587 292326670 396906490 550565174 584653340 793812980 1101130348 1151028821 1376412935 2302057642 2752825870 4604115284 5505651740 5755144105 11510288210 19488108659 23020576420 38976217318 77952434636 97440543295 194881086590 389762173180 565155151111 1130310302222 2260620604444 2825775755555 5651551511110 11303103022220