Search a number
-
+
12351053220 = 22351125332099
BaseRepresentation
bin10111000000010111…
…00001110110100100
31011212202200111211120
423200023201312210
5200243332200340
65401325533540
7615033135342
oct134013416644
934782614746
1012351053220
115268936100
1224884142b0
13121aac921c
148524c0992
154c44b64d0
hex2e02e1da4

12351053220 has 144 divisors (see below), whose sum is σ = 38731089600. Its totient is φ = 2937608960.

The previous prime is 12351053191. The next prime is 12351053251. The reversal of 12351053220 is 2235015321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368731 + ... + 400829.

It is an arithmetic number, because the mean of its divisors is an integer number (268965900).

Almost surely, 212351053220 is an apocalyptic number.

12351053220 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 12351053220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365544800).

12351053220 is an abundant number, since it is smaller than the sum of its proper divisors (26380036380).

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

12351053220 is a wasteful number, since it uses less digits than its factorization.

12351053220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32186 (or 32173 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 12351053220 its reverse (2235015321), we get a palindrome (14586068541).

The spelling of 12351053220 in words is "twelve billion, three hundred fifty-one million, fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 121 132 159 165 212 220 242 265 318 330 363 484 530 583 605 636 660 726 795 1060 1166 1210 1452 1590 1749 1815 2332 2420 2915 3180 3498 3630 5830 6413 6996 7260 8745 11660 12826 17490 19239 25652 32065 32099 34980 38478 64130 64198 76956 96195 96297 128260 128396 160495 192390 192594 320990 353089 384780 385188 481485 641980 706178 962970 1059267 1412356 1701247 1765445 1925940 2118534 3402494 3530890 3883979 4237068 5103741 5296335 6804988 7061780 7767958 8506235 10207482 10592670 11651937 15535916 17012470 18713717 19419895 20414964 21185340 23303874 25518705 34024940 37427434 38839790 46607748 51037410 56141151 58259685 74854868 77679580 93568585 102074820 112282302 116519370 187137170 205850887 224564604 233038740 280705755 374274340 411701774 561411510 617552661 823403548 1029254435 1122823020 1235105322 2058508870 2470210644 3087763305 4117017740 6175526610 12351053220