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132353123461 = 1329592100853
BaseRepresentation
bin111101101000011011…
…1000110010010000101
3110122121220202022011121
41323100313012102011
54132024344422321
6140445134433541
712363555662416
oct1732067062205
9418556668147
10132353123461
1151148984669
12217989628b1
13c633559990
146597c0580d
15369972a441
hex1ed0dc6485

132353123461 has 24 divisors (see below), whose sum is σ = 149992085880. Its totient is φ = 115958822784.

The previous prime is 132353123423. The next prime is 132353123477. The reversal of 132353123461 is 164321353231.

It can be written as a sum of positive squares in 4 ways, for example, as 7049025 + 132346074436 = 2655^2 + 363794^2 .

It is not a de Polignac number, because 132353123461 - 215 = 132353090693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132353123411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261911 + ... + 1362763.

It is an arithmetic number, because the mean of its divisors is an integer number (6249670245).

Almost surely, 2132353123461 is an apocalyptic number.

It is an amenable number.

132353123461 is a deficient number, since it is larger than the sum of its proper divisors (17638962419).

132353123461 is a wasteful number, since it uses less digits than its factorization.

132353123461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101013 (or 100954 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

Adding to 132353123461 its reverse (164321353231), we get a palindrome (296674476692).

The spelling of 132353123461 in words is "one hundred thirty-two billion, three hundred fifty-three million, one hundred twenty-three thousand, four hundred sixty-one".

Divisors: 1 13 29 59 377 767 1711 3481 22243 45253 100853 100949 1311089 1312337 2924737 5950327 38021581 77354251 172559483 351069293 2243273279 4563900809 10181009497 132353123461