Search a number
-
+
20001202221200 = 2452138041362233
BaseRepresentation
bin1001000110000111001001…
…00011011011000010010000
32121211002121011122200002212
410203003210203123002100
510110144430232034300
6110312231521531252
74133016302520644
oct443034443330220
977732534580085
1020001202221200
11641150a250682
1222b044a1a3b28
13b2114a3a5225
144d20c5ba8c24
1524a4256ae935
hex1230e48db090

20001202221200 has 60 divisors (see below), whose sum is σ = 48053369100708. Its totient is φ = 8000400844800.

The previous prime is 20001202221173. The next prime is 20001202221223. The reversal of 20001202221200 is 212220210002.

It can be written as a sum of positive squares in 6 ways, for example, as 798156412816 + 19203045808384 = 893396^2 + 4382128^2 .

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 11 ways as a sum of consecutive naturals, for example, 55035284 + ... + 55397516.

Almost surely, 220001202221200 is an apocalyptic number.

20001202221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001202221200 is an abundant number, since it is smaller than the sum of its proper divisors (28052166879508).

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

20001202221200 is a wasteful number, since it uses less digits than its factorization.

20001202221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500292 (or 500281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20001202221200 its reverse (212220210002), we get a palindrome (20213422431202).

The spelling of 20001202221200 in words is "twenty trillion, one billion, two hundred two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 138041 276082 362233 552164 690205 724466 1104328 1380410 1448932 1811165 2208656 2760820 2897864 3451025 3622330 5521640 5795728 6902050 7244660 9055825 11043280 13804100 14489320 18111650 27608200 28978640 36223300 55216400 72446600 144893200 50003005553 100006011106 200012022212 250015027765 400024044424 500030055530 800048088848 1000060111060 1250075138825 2000120222120 2500150277650 4000240444240 5000300555300 10000601110600 20001202221200