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20501443300 = 225213235571231
BaseRepresentation
bin10011000101111110…
…110011001011100100
31221220210002020010211
4103011332303023210
5313441332141200
613230201025204
71324021251502
oct230576631344
957823066124
1020501443300
118770591878
123b81a85204
131c19546950
14dc6b35672
157eecbbaba
hex4c5fb32e4

20501443300 has 144 divisors (see below), whose sum is σ = 50123791872. Its totient is φ = 7221772800.

The previous prime is 20501443247. The next prime is 20501443349. The reversal of 20501443300 is 334410502.

It is a super-2 number, since 2×205014433002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16653685 + ... + 16654915.

It is an arithmetic number, because the mean of its divisors is an integer number (348081888).

Almost surely, 220501443300 is an apocalyptic number.

20501443300 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 20501443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061895936).

20501443300 is an abundant number, since it is smaller than the sum of its proper divisors (29622348572).

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

20501443300 is a wasteful number, since it uses less digits than its factorization.

20501443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 20501443300 its reverse (334410502), we get a palindrome (20835853802).

The spelling of 20501443300 in words is "twenty billion, five hundred one million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 557 575 598 650 1114 1150 1196 1231 1300 1495 2228 2300 2462 2785 2990 4924 5570 5980 6155 7241 7475 11140 12310 12811 13925 14482 14950 16003 24620 25622 27850 28313 28964 29900 30775 32006 36205 51244 55700 56626 61550 64012 64055 72410 80015 113252 123100 128110 141565 144820 160030 166543 181025 256220 283130 320060 320275 333086 362050 368069 400075 566260 640550 666172 685667 707825 724100 736138 800150 832715 1281100 1371334 1415650 1472276 1600300 1665430 1840345 2742668 2831300 3330860 3428335 3680690 4163575 6856670 7361380 8327150 8913671 9201725 13713340 15770341 16654300 17141675 17827342 18403450 31540682 34283350 35654684 36806900 44568355 63081364 68566700 78851705 89136710 157703410 178273420 205014433 222841775 315406820 394258525 410028866 445683550 788517050 820057732 891367100 1025072165 1577034100 2050144330 4100288660 5125360825 10250721650 20501443300