Search a number
-
+
1221030313020 = 223257319776973
BaseRepresentation
bin10001110001001011000…
…100111111110000111100
311022201200200221200222200
4101301023010333300330
5130001132230004040
62332533353111500
7154134161262000
oct21611304776074
94281620850880
101221030313020
11430921863581
121787886b8590
138b1b15840cb
14431535ac700
1521b66124630
hex11c4b13fc3c

1221030313020 has 144 divisors (see below), whose sum is σ = 4319291121600. Its totient is φ = 279092628864.

The previous prime is 1221030312989. The next prime is 1221030313033. The reversal of 1221030313020 is 203130301221.

1221030313020 is a `hidden beast` number, since 1 + 2 + 210 + 303 + 130 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221030312984 and 1221030313002.

It is a congruent 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, 9826747 + ... + 9950226.

Almost surely, 21221030313020 is an apocalyptic number.

1221030313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221030313020 is an abundant number, since it is smaller than the sum of its proper divisors (3098260808580).

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

1221030313020 is a wasteful number, since it uses less digits than its factorization.

1221030313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19777009 (or 19776990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1221030313020 its reverse (203130301221), we get a palindrome (1424160614241).

The spelling of 1221030313020 in words is "one trillion, two hundred twenty-one billion, thirty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 19776973 39553946 59330919 79107892 98884865 118661838 138438811 177992757 197769730 237323676 276877622 296654595 355985514 395539460 415316433 553755244 593309190 692194055 711971028 830632866 889963785 969071677 1186618380 1245949299 1384388110 1661265732 1779927570 1938143354 2076582165 2491898598 2768776220 2907215031 3559855140 3876286708 4153164330 4845358385 4983797196 5814430062 6229746495 6783501739 8306328660 8721645093 9690716770 11628860124 12459492990 13567003478 14536075155 17443290186 19381433540 20350505217 24918985980 27134006956 29072150310 33917508695 34886580372 40701010434 43608225465 58144300620 61051515651 67835017390 81402020868 87216450930 101752526085 122103031302 135670034780 174432901860 203505052170 244206062604 305257578255 407010104340 610515156510 1221030313020