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132200638941 = 37172316100431
BaseRepresentation
bin111101100011111000…
…1011010100111011101
3110122020021211021201210
41323013301122213131
54131221330421231
6140422050255033
712360024614220
oct1730761324735
9418207737653
10132200638941
115107a8a57a8
1221755887479
13c60aa9ac57
1465818715b7
15368b159a46
hex1ec7c5a9dd

132200638941 has 32 divisors (see below), whose sum is σ = 222572371968. Its totient is φ = 68008216320.

The previous prime is 132200638937. The next prime is 132200638963. The reversal of 132200638941 is 149836002231.

It is not a de Polignac number, because 132200638941 - 22 = 132200638937 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132200638941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200630941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042005 + ... + 8058426.

It is an arithmetic number, because the mean of its divisors is an integer number (6955386624).

Almost surely, 2132200638941 is an apocalyptic number.

It is an amenable number.

132200638941 is a deficient number, since it is larger than the sum of its proper divisors (90371733027).

132200638941 is a wasteful number, since it uses less digits than its factorization.

132200638941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100481.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 132200638941 in words is "one hundred thirty-two billion, two hundred million, six hundred thirty-eight thousand, nine hundred forty-one".

Divisors: 1 3 7 17 21 23 51 69 119 161 357 391 483 1173 2737 8211 16100431 48301293 112703017 273707327 338109051 370309913 821121981 1110929739 1915951289 2592169391 5747853867 6295268521 7776508173 18885805563 44066879647 132200638941