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101232032144 = 243126583769
BaseRepresentation
bin101111001000111100…
…1100011100110010000
3100200022000221001121212
41132101321203212100
53124310400012034
6114301053435252
710212424034645
oct1362171434620
9320260831555
10101232032144
1139a28930091
121775249bb28
139713b3ab49
144c8492bdcc
1529774a12ce
hex1791e63990

101232032144 has 30 divisors (see below), whose sum is σ = 202668191910. Its totient is φ = 48983233920.

The previous prime is 101232032137. The next prime is 101232032149. The reversal of 101232032144 is 441230232101.

It can be written as a sum of positive squares in only one way, i.e., 85856032144 + 15376000000 = 293012^2 + 124000^2 .

It is not an unprimeable number, because it can be changed into a prime (101232032149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3276509 + ... + 3307260.

It is an arithmetic number, because the mean of its divisors is an integer number (6755606397).

Almost surely, 2101232032144 is an apocalyptic number.

It is an amenable number.

101232032144 is an abundant number, since it is smaller than the sum of its proper divisors (101436159766).

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

101232032144 is an equidigital number, since it uses as much as digits as its factorization.

101232032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583839 (or 6583802 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101232032144 its reverse (441230232101), we get a palindrome (542462264245).

The spelling of 101232032144 in words is "one hundred one billion, two hundred thirty-two million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 6583769 13167538 26335076 52670152 105340304 204096839 408193678 816387356 1632774712 3265549424 6327002009 12654004018 25308008036 50616016072 101232032144