Search a number
-
+
20120000330100 = 22352116096969797
BaseRepresentation
bin1001001001100100011010…
…11110001111100101110100
32122020110020102020212222010
410210302031132033211310
510114121230041030400
6110443000041404220
74144423236010446
oct444621536174564
978213212225863
1020120000330100
116457931728170
12230b483499670
13b2c400585418
144d7b5564c496
1524d579da4450
hex124c8d78f974

20120000330100 has 72 divisors (see below), whose sum is σ = 63506037415968. Its totient is φ = 4877575836800.

The previous prime is 20120000330093. The next prime is 20120000330113. The reversal of 20120000330100 is 103300002102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 3048481599 + ... + 3048488198.

It is an arithmetic number, because the mean of its divisors is an integer number (882028297444).

Almost surely, 220120000330100 is an apocalyptic number.

20120000330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120000330100 is an abundant number, since it is smaller than the sum of its proper divisors (43386037085868).

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

20120000330100 is a wasteful number, since it uses less digits than its factorization.

20120000330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096969825 (or 6096969818 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20120000330100 its reverse (103300002102), we get a palindrome (20223300332202).

The spelling of 20120000330100 in words is "twenty trillion, one hundred twenty billion, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6096969797 12193939594 18290909391 24387879188 30484848985 36581818782 60969697970 67066667767 73163637564 91454546955 121939395940 134133335534 152424244925 182909093910 201200003301 268266671068 304848489850 335333338835 365818187820 402400006602 457272734775 609696979700 670666677670 804800013204 914545469550 1006000016505 1341333355340 1676666694175 1829090939100 2012000033010 3353333388350 4024000066020 5030000082525 6706666776700 10060000165050 20120000330100