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1331203300020 = 22325111935385521
BaseRepresentation
bin10011010111110001111…
…001100101101010110100
311201021001211212022220200
4103113301321211222310
5133302301021100040
62455314002400500
7165114313231506
oct23276171455264
94637054768820
101331203300020
11473618616350
12195bb5360130
13986bb86aa89
1448605741d76
15249634dc630
hex135f1e65ab4

1331203300020 has 144 divisors (see below), whose sum is σ = 4636918802880. Its totient is φ = 305730892800.

The previous prime is 1331203300003. The next prime is 1331203300067. The reversal of 1331203300020 is 200033021331.

1331203300020 is a `hidden beast` number, since 1 + 3 + 312 + 0 + 330 + 0 + 0 + 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 = 1331203299966 and 1331203300002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17655141 + ... + 17730380.

It is an arithmetic number, because the mean of its divisors is an integer number (32200825020).

Almost surely, 21331203300020 is an apocalyptic number.

1331203300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331203300020 is an abundant number, since it is smaller than the sum of its proper divisors (3305715502860).

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

1331203300020 is a wasteful number, since it uses less digits than its factorization.

1331203300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35385566 (or 35385561 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1331203300020 its reverse (200033021331), we get a palindrome (1531236321351).

The spelling of 1331203300020 in words is "one trillion, three hundred thirty-one billion, two hundred three million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 35385521 70771042 106156563 141542084 176927605 212313126 318469689 353855210 389240731 424626252 530782815 636939378 672324899 707710420 778481462 1061565630 1167722193 1273878756 1344649798 1556962924 1592348445 1946203655 2016974697 2123131260 2335444386 2689299596 3184696890 3361624495 3503166579 3892407310 4033949394 4670888772 5838610965 6050924091 6369393780 6723248990 7006333158 7395573889 7784814620 8067898788 10084873485 11677221930 12101848182 13446497980 14012666316 14791147778 17515832895 20169746970 22186721667 23354443860 24203696364 29582295556 30254620455 35031665790 36977869445 40339493940 44373443334 60509240910 66560165001 70063331580 73955738890 88746886668 110933608335 121018481820 133120330002 147911477780 221867216670 266240660004 332800825005 443734433340 665601650010 1331203300020