Search a number
-
+
10020000000 = 28357167
BaseRepresentation
bin10010101010011110…
…10001000100000000
3221212022101201222010
421111033101010000
5131010110000000
64334135212520
7503206410663
oct112517210400
927768351863
1010020000000
11428203533a
121b37817140
13c38ba08aa
146b0a8b6da
153d9a0dd50
hex2553d1100

10020000000 has 288 divisors, whose sum is σ = 33534289152. Its totient is φ = 2656000000.

The previous prime is 10019999947. The next prime is 10020000019. The reversal of 10020000000 is 2001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10020000000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59999917 + ... + 60000083.

It is an arithmetic number, because the mean of its divisors is an integer number (116438504).

Almost surely, 210020000000 is an apocalyptic number.

10020000000 is a gapful number since it is divisible by the number (10) 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 10020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767144576).

10020000000 is an abundant number, since it is smaller than the sum of its proper divisors (23514289152).

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

10020000000 is an frugal number, since it uses more digits than its factorization.

10020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

Adding to 10020000000 its reverse (2001), we get a palindrome (10020002001).

The spelling of 10020000000 in words is "ten billion, twenty million", and thus it is an aban number and an uban number.