Search a number
-
+
101000220000 = 253544141057
BaseRepresentation
bin101111000010000010…
…1010000110101100000
3100122200212201210010220
41132010011100311200
53123322024020000
6114222053123040
710203610463541
oct1360405206540
9318625653126
10101000220000
1139919a9a1a9
12176a8929480
1396a7ac5ab4
144c61c284c8
152961e611a0
hex1784150d60

101000220000 has 240 divisors, whose sum is σ = 339389698032. Its totient is φ = 26275840000.

The previous prime is 101000219993. The next prime is 101000220011. The reversal of 101000220000 is 22000101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2439472 + ... + 2480528.

Almost surely, 2101000220000 is an apocalyptic number.

101000220000 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 101000220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169694849016).

101000220000 is an abundant number, since it is smaller than the sum of its proper divisors (238389478032).

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

101000220000 is an equidigital number, since it uses as much as digits as its factorization.

101000220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41131 (or 41108 counting only the distinct ones).

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

Adding to 101000220000 its reverse (22000101), we get a palindrome (101022220101).

The spelling of 101000220000 in words is "one hundred one billion, two hundred twenty thousand".