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20035301303120 = 245250441266289
BaseRepresentation
bin1001000111000110101010…
…00001000110001101010000
32121221100121121002111202212
410203203111001012031100
510111224244113144440
6110340031303331252
74135334305112645
oct443432501061520
977840547074685
1020035301303120
116424a182a2614
1222b6b85a50b28
13b24422a7068c
144d39dc799dcc
1524b26e0d1465
hex1238d5046350

20035301303120 has 20 divisors (see below), whose sum is σ = 46582075529940. Its totient is φ = 8014120521216.

The previous prime is 20035301303119. The next prime is 20035301303137. The reversal of 20035301303120 is 2130310353002.

It can be written as a sum of positive squares in 2 ways, for example, as 6885858824464 + 13149442478656 = 2624092^2 + 3626216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125220633065 + ... + 125220633224.

It is an arithmetic number, because the mean of its divisors is an integer number (2329103776497).

Almost surely, 220035301303120 is an apocalyptic number.

20035301303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20035301303120 is an abundant number, since it is smaller than the sum of its proper divisors (26546774226820).

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

20035301303120 is a wasteful number, since it uses less digits than its factorization.

20035301303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250441266302 (or 250441266296 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 20035301303120 its reverse (2130310353002), we get a palindrome (22165611656122).

The spelling of 20035301303120 in words is "twenty trillion, thirty-five billion, three hundred one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 250441266289 500882532578 1001765065156 1252206331445 2003530130312 2504412662890 4007060260624 5008825325780 10017650651560 20035301303120