Search a number
-
+
20002002201012 = 2231319293143174569
BaseRepresentation
bin1001000110001000101000…
…01111000110100110110100
32121211011122220221212002210
410203010110033012212310
510110203100030413022
6110312443140133420
74133045155321416
oct443042417064664
977734586855083
1020002002201012
11641188a878317
1222b0632097270
13b2124704bb70
144d216012a9b6
1524a470a30a0c
hex1231143c69b4

20002002201012 has 384 divisors, whose sum is σ = 57810880512000. Its totient is φ = 5321167810560.

The previous prime is 20002002200987. The next prime is 20002002201019. The reversal of 20002002201012 is 21010220020002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002002201019) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 114492064 + ... + 114666632.

It is an arithmetic number, because the mean of its divisors is an integer number (150549168000).

Almost surely, 220002002201012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002002201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28905440256000).

20002002201012 is an abundant number, since it is smaller than the sum of its proper divisors (37808878310988).

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

20002002201012 is a wasteful number, since it uses less digits than its factorization.

20002002201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174711 (or 174709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20002002201012 its reverse (21010220020002), we get a palindrome (41012222221014).

The spelling of 20002002201012 in words is "twenty trillion, two billion, two million, two hundred one thousand, twelve".