Search a number
-
+
20010111000 = 23353111095563
BaseRepresentation
bin10010101000101100…
…100001000000011000
31220122112112221221020
4102220230201000120
5311440042023000
613105330042440
71305604065015
oct225054410030
956575487836
1020010111000
118539205620
123a65419420
131b6b807b89
14d7b79870c
157c1ab6ba0
hex4a8b21018

20010111000 has 256 divisors, whose sum is σ = 68744332800. Its totient is φ = 4805568000.

The previous prime is 20010110999. The next prime is 20010111013. The reversal of 20010111000 is 11101002.

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 self number, because there is not a number n which added to its sum of digits gives 20010111000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3594219 + ... + 3599781.

It is an arithmetic number, because the mean of its divisors is an integer number (268532550).

Almost surely, 220010111000 is an apocalyptic number.

20010111000 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 20010111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372166400).

20010111000 is an abundant number, since it is smaller than the sum of its proper divisors (48734221800).

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

20010111000 is a wasteful number, since it uses less digits than its factorization.

20010111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 20010111000 its reverse (11101002), we get a palindrome (20021212002).

The spelling of 20010111000 in words is "twenty billion, ten million, one hundred eleven thousand".