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132351401 = 72131731201
BaseRepresentation
bin1111110001110…
…00010110101001
3100020001010222202
413320320112221
5232340221101
621044425545
73164653100
oct770702651
9306033882
10132351401
1168788626
12383a82b5
132155cb50
1413813037
15b94536b
hex7e385a9

132351401 has 24 divisors (see below), whose sum is σ = 166900104. Its totient is φ = 104025600.

The previous prime is 132351391. The next prime is 132351413. The reversal of 132351401 is 104153231.

It can be written as a sum of positive squares in 4 ways, for example, as 561001 + 131790400 = 749^2 + 11480^2 .

It is a de Polignac number, because none of the positive numbers 2k-132351401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132351481) 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, 109601 + ... + 110801.

It is an arithmetic number, because the mean of its divisors is an integer number (6954171).

Almost surely, 2132351401 is an apocalyptic number.

It is an amenable number.

132351401 is a deficient number, since it is larger than the sum of its proper divisors (34548703).

132351401 is a wasteful number, since it uses less digits than its factorization.

132351401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 132351401 is about 11504.4078943681. The cubic root of 132351401 is about 509.6157569696.

The spelling of 132351401 in words is "one hundred thirty-two million, three hundred fifty-one thousand, four hundred one".

Divisors: 1 7 13 49 91 173 637 1201 1211 2249 8407 8477 15613 15743 58849 109291 110201 207773 765037 1454411 2701049 10180877 18907343 132351401