Search a number
-
+
20010010020 = 2235711133171051
BaseRepresentation
bin10010101000101100…
…001000010110100100
31220122112100211102020
4102220230020112210
5311440030310040
613105323543140
71305603164430
oct225054102644
956575324366
1020010010020
118539146770
123a6538aab0
131b6b7a0c20
14d7b76d9c0
157c1a96cd0
hex4a8b085a4

20010010020 has 384 divisors, whose sum is σ = 75535552512. Its totient is φ = 3822336000.

The previous prime is 20010010003. The next prime is 20010010049. The reversal of 20010010020 is 2001001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 20010009990 and 20010010008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19038495 + ... + 19039545.

It is an arithmetic number, because the mean of its divisors is an integer number (196707168).

Almost surely, 220010010020 is an apocalyptic number.

20010010020 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 20010010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37767776256).

20010010020 is an abundant number, since it is smaller than the sum of its proper divisors (55525542492).

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

20010010020 is a wasteful number, since it uses less digits than its factorization.

20010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20010010020 its reverse (2001001002), we get a palindrome (22011011022).

The spelling of 20010010020 in words is "twenty billion, ten million, ten thousand, twenty".