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138195023201 is a prime number
BaseRepresentation
bin1000000010110100010…
…0001011010101100001
3111012201001022120001122
42000231010023111201
54231010411220301
6143252542542025
712661413213164
oct2005504132541
9435631276048
10138195023201
1153676540384
1222949297915
131005494b8a1
14698da1badb
1538dc53381b
hex202d10b561

138195023201 has 2 divisors, whose sum is σ = 138195023202. Its totient is φ = 138195023200.

The previous prime is 138195023159. The next prime is 138195023209. The reversal of 138195023201 is 102320591831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137433318400 + 761704801 = 370720^2 + 27599^2 .

It is a cyclic number.

It is not a de Polignac number, because 138195023201 - 218 = 138194761057 is a prime.

It is not a weakly prime, because it can be changed into another prime (138195023209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69097511600 + 69097511601.

It is an arithmetic number, because the mean of its divisors is an integer number (69097511601).

Almost surely, 2138195023201 is an apocalyptic number.

It is an amenable number.

138195023201 is a deficient number, since it is larger than the sum of its proper divisors (1).

138195023201 is an equidigital number, since it uses as much as digits as its factorization.

138195023201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 138195023201 in words is "one hundred thirty-eight billion, one hundred ninety-five million, twenty-three thousand, two hundred one".