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148132231841 = 1121224233321
BaseRepresentation
bin1000100111110101011…
…1100111101010100001
3112011100120221001122002
42021331113213222201
54411333322404331
6152015003453345
713462566124016
oct2117527475241
9464316831562
10148132231841
1157905868300
1224861227255
1310c796226b9
1472536b770d
153cbeb3b9cb
hex227d5e7aa1

148132231841 has 6 divisors (see below), whose sum is σ = 162823031826. Its totient is φ = 134665665200.

The previous prime is 148132231829. The next prime is 148132231853.

It is a happy number.

148132231841 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (148132231829) and next prime (148132231853).

It can be written as a sum of positive squares in only one way, i.e., 145367575441 + 2764656400 = 381271^2 + 52580^2 .

It is not a de Polignac number, because 148132231841 - 210 = 148132230817 is a prime.

It is a super-2 number, since 2×1481322318412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 148132231795 and 148132231804.

It is not an unprimeable number, because it can be changed into a prime (148132231241) 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, 612116540 + ... + 612116781.

It is an arithmetic number, because the mean of its divisors is an integer number (27137171971).

Almost surely, 2148132231841 is an apocalyptic number.

148132231841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

148132231841 is a deficient number, since it is larger than the sum of its proper divisors (14690799985).

148132231841 is a wasteful number, since it uses less digits than its factorization.

148132231841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224233343 (or 1224233332 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

It can be divided in two parts, 148132 and 231841, that added together give a palindrome (379973).

The spelling of 148132231841 in words is "one hundred forty-eight billion, one hundred thirty-two million, two hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 11 121 1224233321 13466566531 148132231841