Search a number
-
+
10301221030122 = 23211151379909091
BaseRepresentation
bin1001010111100111000010…
…0111101100100011101010
31100110210020210202001000100
42111321300213230203222
52322233400040430442
633524152101050230
72112144601014351
oct225716047544352
940423223661010
1010301221030122
1133117a57a0320
1211a45420b6976
13599529c32859
142788204b6998
1512ce598e384c
hex95e709ec8ea

10301221030122 has 96 divisors (see below), whose sum is σ = 24574284034560. Its totient is φ = 3092724180000.

The previous prime is 10301221030117. The next prime is 10301221030159. The reversal of 10301221030122 is 22103012210301.

10301221030122 is a `hidden beast` number, since 1 + 0 + 301 + 2 + 210 + 30 + 122 = 666.

It is a super-2 number, since 2×103012210301222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10301221030095 and 10301221030104.

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 47 ways as a sum of consecutive naturals, for example, 10876797 + ... + 11785887.

It is an arithmetic number, because the mean of its divisors is an integer number (255982125360).

Almost surely, 210301221030122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301221030122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287142017280).

10301221030122 is an abundant number, since it is smaller than the sum of its proper divisors (14273063004438).

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

10301221030122 is a wasteful number, since it uses less digits than its factorization.

10301221030122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909640 (or 909637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10301221030122 its reverse (22103012210301), we get a palindrome (32404233240423).

It can be divided in two parts, 103012210301 and 22, that multiplied together give a palindrome (2266268626622).

The spelling of 10301221030122 in words is "ten trillion, three hundred one billion, two hundred twenty-one million, thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 379 453 758 906 1137 1359 1661 2274 2718 3322 3411 4169 4983 6822 8338 9966 12507 14949 25014 29898 37521 57229 75042 114458 171687 343374 515061 629519 909091 1030122 1259038 1818182 1888557 2727273 3777114 5454546 5665671 8181819 10000001 11331342 16363638 20000002 30000003 60000006 90000009 137272741 180000018 274545482 344545489 411818223 689090978 823636446 1033636467 1235454669 1510000151 2067272934 2470909338 3020000302 3100909401 3790000379 4530000453 6201818802 7580000758 9060000906 11370001137 13590001359 22740002274 27180002718 34110003411 52026368839 68220006822 104052737678 156079106517 312158213034 468237319551 572290057229 936474639102 1144580114458 1716870171687 3433740343374 5150610515061 10301221030122