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132223020010241 = 232293853068253
BaseRepresentation
bin11110000100000110010010…
…001000111000101100000001
3122100011101201121100111201012
4132010012102020320230001
5114312320221110311431
61145114230011450305
736564540461054156
oct3604062210705401
9570141647314635
10132223020010241
1139148516826666
12129b5859a56995
1358a17673b2854
1424918b214a22d
15104465695e22b
hex784192238b01

132223020010241 has 12 divisors (see below), whose sum is σ = 138693542871828. Its totient is φ = 126042540369504.

The previous prime is 132223020010229. The next prime is 132223020010321. The reversal of 132223020010241 is 142010020322231.

It can be written as a sum of positive squares in 2 ways, for example, as 65076811680400 + 67146208329841 = 8067020^2 + 8194279^2 .

It is not a de Polignac number, because 132223020010241 - 218 = 132223019748097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132223020010141) 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 11 ways as a sum of consecutive naturals, for example, 426379130 + ... + 426689123.

It is an arithmetic number, because the mean of its divisors is an integer number (11557795239319).

Almost surely, 2132223020010241 is an apocalyptic number.

It is an amenable number.

132223020010241 is a deficient number, since it is larger than the sum of its proper divisors (6470522861587).

132223020010241 is an equidigital number, since it uses as much as digits as its factorization.

132223020010241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853068592 (or 853068569 counting only the distinct ones).

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

Adding to 132223020010241 its reverse (142010020322231), we get a palindrome (274233040332472).

The spelling of 132223020010241 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, twenty million, ten thousand, two hundred forty-one".

Divisors: 1 23 293 529 6739 154997 853068253 19620569819 249948998129 451273105837 5748826956967 132223020010241