Search a number
-
+
101042340432 = 24311191368069
BaseRepresentation
bin101111000011010010…
…1111100001001010000
3100122210210222201111220
41132012211330021100
53123413314343212
6114230200005040
710204631502615
oct1360645741120
9318723881456
10101042340432
1139940848980
12176baa60780
1396b3752827
144c6767050c
1529659d138c
hex178697c250

101042340432 has 40 divisors (see below), whose sum is σ = 284755688160. Its totient is φ = 30618890880.

The previous prime is 101042340431. The next prime is 101042340449. The reversal of 101042340432 is 234043240101.

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 (101042340431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95683507 + ... + 95684562.

It is an arithmetic number, because the mean of its divisors is an integer number (7118892204).

Almost surely, 2101042340432 is an apocalyptic number.

101042340432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101042340432 is an abundant number, since it is smaller than the sum of its proper divisors (183713347728).

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

101042340432 is a wasteful number, since it uses less digits than its factorization.

101042340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191368091 (or 191368085 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101042340432 its reverse (234043240101), we get a palindrome (335085580533).

The spelling of 101042340432 in words is "one hundred one billion, forty-two million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 191368069 382736138 574104207 765472276 1148208414 1530944552 2105048759 2296416828 3061889104 4210097518 4592833656 6315146277 8420195036 9185667312 12630292554 16840390072 25260585108 33680780144 50521170216 101042340432