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1123220321322 = 2311293831532231
BaseRepresentation
bin10000010110000101001…
…001011111010000101010
310222101020011012022100120
4100112011021133100222
5121400323400240242
62220000021344110
7144102306126231
oct20260511372052
93871204168316
101123220321322
113a339a6530a0
12161830268036
1381bc46b8188
143c515347b18
151e33e2d11ec
hex1058525f42a

1123220321322 has 64 divisors (see below), whose sum is σ = 2541789020160. Its totient is φ = 327774641600.

The previous prime is 1123220321317. The next prime is 1123220321369. The reversal of 1123220321322 is 2231230223211.

It is a junction number, because it is equal to n+sod(n) for n = 1123220321292 and 1123220321301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33054 + ... + 1499177.

It is an arithmetic number, because the mean of its divisors is an integer number (39715453440).

Almost surely, 21123220321322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123220321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270894510080).

1123220321322 is an abundant number, since it is smaller than the sum of its proper divisors (1418568698838).

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

1123220321322 is a wasteful number, since it uses less digits than its factorization.

1123220321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532659.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1123220321322 its reverse (2231230223211), we get a palindrome (3354450544533).

The spelling of 1123220321322 in words is "one trillion, one hundred twenty-three billion, two hundred twenty million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 383 638 766 957 1149 1914 2298 4213 8426 11107 12639 22214 25278 33321 66642 122177 244354 366531 733062 1532231 3064462 4596693 9193386 16854541 33709082 44434699 50563623 88869398 101127246 133304097 266608194 488781689 586844473 977563378 1173688946 1466345067 1760533419 2932690134 3521066838 6455289203 12910578406 17018489717 19365867609 34036979434 38731735218 51055469151 102110938302 187203386887 374406773774 561610160661 1123220321322