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132145315101 = 32611801133649
BaseRepresentation
bin111101100010001111…
…0010111110100011101
3110122002102201112200200
41323010132113310131
54131113200040401
6140412352414113
712355453434222
oct1730436276435
9418072645620
10132145315101
1151051649118
122173b247339
13c5cc49a557
14657838d949
15368637c686
hex1ec4797d1d

132145315101 has 24 divisors (see below), whose sum is σ = 194114863800. Its totient is φ = 86603904000.

The previous prime is 132145315097. The next prime is 132145315117. The reversal of 132145315101 is 101513541231.

132145315101 is a `hidden beast` number, since 1 + 3 + 2 + 145 + 3 + 1 + 510 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30887711001 + 101257604100 = 175749^2 + 318210^2 .

It is not a de Polignac number, because 132145315101 - 22 = 132145315097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132145315121) 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, 921925 + ... + 1055573.

It is an arithmetic number, because the mean of its divisors is an integer number (8088119325).

Almost surely, 2132145315101 is an apocalyptic number.

It is an amenable number.

132145315101 is a deficient number, since it is larger than the sum of its proper divisors (61969548699).

132145315101 is a wasteful number, since it uses less digits than its factorization.

132145315101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135517 (or 135514 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 132145315101 its reverse (101513541231), we get a palindrome (233658856332).

The spelling of 132145315101 in words is "one hundred thirty-two billion, one hundred forty-five million, three hundred fifteen thousand, one hundred one".

Divisors: 1 3 9 61 183 549 1801 5403 16209 109861 133649 329583 400947 988749 1202841 8152589 24457767 73373301 240701849 722105547 2166316641 14682812789 44048438367 132145315101