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1123321103220 = 2235315237115321
BaseRepresentation
bin10000010110001011001…
…001111100001101110100
310222101111011211120010110
4100112023021330031310
5121401030200300340
62220014021423020
7144104641556061
oct20261311741564
93871434746113
101123321103220
113a3441529018
12161859b6aa70
1381c0c543834
143c52489dc68
151e34808c680
hex1058b27c374

1123321103220 has 96 divisors (see below), whose sum is σ = 3247408475136. Its totient is φ = 289831449600.

The previous prime is 1123321103173. The next prime is 1123321103227. The reversal of 1123321103220 is 223011233211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123321103227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9683160 + ... + 9798480.

It is an arithmetic number, because the mean of its divisors is an integer number (33827171616).

Almost surely, 21123321103220 is an apocalyptic number.

1123321103220 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 1123321103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623704237568).

1123321103220 is an abundant number, since it is smaller than the sum of its proper divisors (2124087371916).

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

1123321103220 is a wasteful number, since it uses less digits than its factorization.

1123321103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120601 (or 120599 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1123321103220 its reverse (223011233211), we get a palindrome (1346332336431).

The spelling of 1123321103220 in words is "one trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 5237 10474 15711 20948 26185 31422 52370 62844 78555 104740 115321 157110 162347 230642 314220 324694 345963 461284 487041 576605 649388 691926 811735 974082 1153210 1383852 1623470 1729815 1948164 2306420 2435205 3246940 3459630 3574951 4870410 6919260 7149902 9740820 10724853 14299804 17874755 21449706 35749510 42899412 53624265 71499020 107248530 214497060 603936077 1207872154 1811808231 2415744308 3019680385 3623616462 6039360770 7247232924 9059041155 12078721540 18118082310 18722018387 36236164620 37444036774 56166055161 74888073548 93610091935 112332110322 187220183870 224664220644 280830275805 374440367740 561660551610 1123321103220