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20126330363300 = 22527137641327407
BaseRepresentation
bin1001001001110000001101…
…10001011001110110100100
32122021001120120022220002012
410210320012301121312210
510114222211033111200
6110445524124133352
74145036141262650
oct444700661316644
978231516286065
1020126330363300
11645a58a885867
12231074b397258
13b2cb9bb360b5
144d819620ba60
1524d7ea97ea35
hex124e06c59da4

20126330363300 has 144 divisors (see below), whose sum is σ = 50356219995648. Its totient is φ = 6839380377600.

The previous prime is 20126330363231. The next prime is 20126330363317. The reversal of 20126330363300 is 336303362102.

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, 61308197 + ... + 61635603.

It is an arithmetic number, because the mean of its divisors is an integer number (349695972192).

Almost surely, 220126330363300 is an apocalyptic number.

20126330363300 is a gapful number since it is divisible by the number (20) 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 20126330363300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25178109997824).

20126330363300 is an abundant number, since it is smaller than the sum of its proper divisors (30229889632348).

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

20126330363300 is a wasteful number, since it uses less digits than its factorization.

20126330363300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328206 (or 328199 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

The spelling of 20126330363300 in words is "twenty trillion, one hundred twenty-six billion, three hundred thirty million, three hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 548 641 685 700 959 1282 1370 1918 2564 2740 3205 3425 3836 4487 4795 6410 6850 8974 9590 12820 13700 16025 17948 19180 22435 23975 32050 44870 47950 64100 87817 89740 95900 112175 175634 224350 327407 351268 439085 448700 614719 654814 878170 1229438 1309628 1637035 1756340 2195425 2291849 2458876 3073595 3274070 4390850 4583698 6147190 6548140 8185175 8781700 9167396 11459245 12294380 15367975 16370350 22918490 30735950 32740700 44854759 45836980 57296225 61471900 89709518 114592450 179419036 209867887 224273795 229184900 313983313 419735774 448547590 627966626 839471548 897095180 1049339435 1121368975 1255933252 1469075209 1569916565 2098678870 2242737950 2938150418 3139833130 4197357740 4485475900 5246697175 5876300836 6279666260 7345376045 7849582825 10493394350 14690752090 15699165650 20986788700 28751900519 29381504180 31398331300 36726880225 57503801038 73453760450 115007602076 143759502595 146907520900 201263303633 287519005190 402526607266 575038010380 718797512975 805053214532 1006316518165 1437595025950 2012633036330 2875190051900 4025266072660 5031582590825 10063165181650 20126330363300