Search a number
-
+
12210311222320 = 245829303760623
BaseRepresentation
bin1011000110101110111101…
…0000110101010000110000
31121020021221120202011011211
42301223233100311100300
53100023204133103240
641545201201245504
72400110615631121
oct261535720652060
947207846664154
1012210311222320
1139884003a9a42
121452534633894
136a7573026033
14302da72b8048
1516294172bbea
hexb1aef435430

12210311222320 has 80 divisors (see below), whose sum is σ = 28433046418560. Its totient is φ = 4876546194432.

The previous prime is 12210311222299. The next prime is 12210311222401. The reversal of 12210311222320 is 2322211301221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12210311222291 and 12210311222300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201383529 + ... + 201444151.

It is an arithmetic number, because the mean of its divisors is an integer number (355413080232).

Almost surely, 212210311222320 is an apocalyptic number.

12210311222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210311222320 is an abundant number, since it is smaller than the sum of its proper divisors (16222735196240).

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

12210311222320 is a wasteful number, since it uses less digits than its factorization.

12210311222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64502 (or 64496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12210311222320 its reverse (2322211301221), we get a palindrome (14532522523541).

The spelling of 12210311222320 in words is "twelve trillion, two hundred ten billion, three hundred eleven million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 829 1658 3037 3316 4145 6074 6632 8290 12148 13264 15185 16580 24296 30370 33160 48592 60623 60740 66320 121246 121480 242492 242960 303115 484984 606230 969968 1212460 2424920 2517673 4849840 5035346 10070692 12588365 20141384 25176730 40282768 50256467 50353460 100512934 100706920 184112051 201025868 201413840 251282335 368224102 402051736 502564670 736448204 804103472 920560255 1005129340 1472896408 1841120510 2010258680 2945792816 3682241020 4020517360 7364482040 14728964080 152628890279 305257780558 610515561116 763144451395 1221031122232 1526288902790 2442062244464 3052577805580 6105155611160 12210311222320