Search a number
-
+
121102220231322 = 231143113564166943
BaseRepresentation
bin11011100010010001001110…
…110100011000001010011010
3120212210020222221121020110220
4123202101032310120022122
5111333114321334400242
61105321331505420510
734336226624442261
oct3342211664301232
9525706887536426
10121102220231322
1135650188212920
12116ba50863a736
135275b7619b095
1421c954335d5d8
15e0022eebcbec
hex6e244ed1829a

121102220231322 has 128 divisors (see below), whose sum is σ = 272812810862592. Its totient is φ = 35520174950400.

The previous prime is 121102220231309. The next prime is 121102220231359. The reversal of 121102220231322 is 223132022201121.

It is a junction number, because it is equal to n+sod(n) for n = 121102220231292 and 121102220231301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1809001383 + ... + 1809068325.

It is an arithmetic number, because the mean of its divisors is an integer number (2131350084864).

Almost surely, 2121102220231322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102220231322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136406405431296).

121102220231322 is an abundant number, since it is smaller than the sum of its proper divisors (151710590631270).

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

121102220231322 is a wasteful number, since it uses less digits than its factorization.

121102220231322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72756.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121102220231322 its reverse (223132022201121), we get a palindrome (344234242432443).

The spelling of 121102220231322 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred twenty million, two hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 113 129 226 258 339 473 678 946 1243 1419 2486 2838 3729 4859 5641 7458 9718 11282 14577 16923 29154 33846 53449 62051 66943 106898 124102 133886 160347 186153 200829 242563 320694 372306 401658 485126 637433 727689 736373 1274866 1455378 1472746 1912299 2209119 2668193 2878549 3824598 4418238 5336386 5757098 7011763 7564559 8004579 8635647 14023526 15129118 16009158 17271294 21035289 22693677 27409619 31664039 42070578 45387354 54819238 63328078 82228857 83210149 94992117 164457714 166420298 189984234 249630447 301505809 325276037 377625463 499260894 603011618 650552074 755250926 904517427 975828111 1132876389 1809034854 1951656222 2265752778 3578036407 4153880093 7156072814 8307760186 10734109221 12461640279 16237894909 21468218442 24923280558 32475789818 42671677319 48713684727 85343354638 97427369454 128015031957 178616843999 256030063914 357233687998 469388450509 535850531997 938776901018 1071701063994 1408165351527 1834882124717 2816330703054 3669764249434 5504646374151 11009292748302 20183703371887 40367406743774 60551110115661 121102220231322