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123132153441 = 31132299115523
BaseRepresentation
bin111001010101100111…
…1111000111001100001
3102202211021212111021110
41302223033320321201
54004133312402231
6132322141213533
711616221015043
oct1625317707141
9382737774243
10123132153441
1148246988390
121ba448612a9
13b7c408c5bb
145d6130da93
153309e51046
hex1cab3f8e61

123132153441 has 16 divisors (see below), whose sum is σ = 179108409600. Its totient is φ = 74622591120.

The previous prime is 123132153439. The next prime is 123132153449. The reversal of 123132153441 is 144351231321.

It is not a de Polignac number, because 123132153441 - 21 = 123132153439 is a prime.

It is a super-2 number, since 2×1231321534412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123132153399 and 123132153408.

It is not an unprimeable number, because it can be changed into a prime (123132153449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008106 + ... + 1123628.

It is an arithmetic number, because the mean of its divisors is an integer number (11194275600).

Almost surely, 2123132153441 is an apocalyptic number.

123132153441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123132153441 is a deficient number, since it is larger than the sum of its proper divisors (55976256159).

123132153441 is a wasteful number, since it uses less digits than its factorization.

123132153441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147836.

The product of its digits is 8640, while the sum is 30.

Adding to 123132153441 its reverse (144351231321), we get a palindrome (267483384762).

The spelling of 123132153441 in words is "one hundred twenty-three billion, one hundred thirty-two million, one hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 11 33 32299 96897 115523 346569 355289 1065867 1270753 3812259 3731277377 11193832131 41044051147 123132153441