Search a number
-
+
101324343120 = 2435711133711399
BaseRepresentation
bin101111001011101100…
…1101100011101010000
3100200112110121221110220
41132113121230131100
53130003012434440
6114314152153040
710214624464110
oct1362731543520
9320473557426
10101324343120
1139a75a4a750
1217779398780
139729cbb920
144c92cbb040
1529806378d0
hex179766c750

101324343120 has 640 divisors, whose sum is σ = 433172275200. Its totient is φ = 18907914240.

The previous prime is 101324343103. The next prime is 101324343121. The reversal of 101324343120 is 21343423101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101324343121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8883181 + ... + 8894579.

It is an arithmetic number, because the mean of its divisors is an integer number (676831680).

Almost surely, 2101324343120 is an apocalyptic number.

101324343120 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 101324343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216586137600).

101324343120 is an abundant number, since it is smaller than the sum of its proper divisors (331847932080).

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

101324343120 is a wasteful number, since it uses less digits than its factorization.

101324343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11483 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101324343120 its reverse (21343423101), we get a palindrome (122667766221).

It can be divided in two parts, 101324 and 343120, that added together give a palindrome (444444).

The spelling of 101324343120 in words is "one hundred one billion, three hundred twenty-four million, three hundred forty-three thousand, one hundred twenty".