Search a number
-
+
101342000340 = 22335773367261
BaseRepresentation
bin101111001100001110…
…1000011010011010100
3100200120200212000122000
41132120131003103110
53130022023002330
6114320022435300
710215230534640
oct1363035032324
9320520760560
10101342000340
1139a84a0a899
1217783292b30
139730861899
144c95395c20
152981e74560
hex17987434d4

101342000340 has 192 divisors, whose sum is σ = 365264094720. Its totient is φ = 22846510080.

The previous prime is 101342000281. The next prime is 101342000341. The reversal of 101342000340 is 43000243101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342000341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92310 + ... + 459570.

It is an arithmetic number, because the mean of its divisors is an integer number (1902417160).

Almost surely, 2101342000340 is an apocalyptic number.

101342000340 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 101342000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182632047360).

101342000340 is an abundant number, since it is smaller than the sum of its proper divisors (263922094380).

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

101342000340 is a wasteful number, since it uses less digits than its factorization.

101342000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367359 (or 367351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101342000340 its reverse (43000243101), we get a palindrome (144342243441).

The spelling of 101342000340 in words is "one hundred one billion, three hundred forty-two million, three hundred forty", and thus it is an aban number.