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138831622801 is a prime number
BaseRepresentation
bin1000000101001100000…
…0100111001010010001
3111021100102012011112121
42001103000213022101
54233311343412201
6143440043254241
713013243215534
oct2012300471221
9437312164477
10138831622801
1153972917053
1222aa651a381
13101267c0341
146a103b0a1b
1539283809a1
hex2053027291

138831622801 has 2 divisors, whose sum is σ = 138831622802. Its totient is φ = 138831622800.

The previous prime is 138831622763. The next prime is 138831622903. The reversal of 138831622801 is 108226138831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124467840000 + 14363782801 = 352800^2 + 119849^2 .

It is a cyclic number.

It is not a de Polignac number, because 138831622801 - 27 = 138831622673 is a prime.

It is not a weakly prime, because it can be changed into another prime (138831622301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69415811400 + 69415811401.

It is an arithmetic number, because the mean of its divisors is an integer number (69415811401).

Almost surely, 2138831622801 is an apocalyptic number.

It is an amenable number.

138831622801 is a deficient number, since it is larger than the sum of its proper divisors (1).

138831622801 is an equidigital number, since it uses as much as digits as its factorization.

138831622801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 138831622801 in words is "one hundred thirty-eight billion, eight hundred thirty-one million, six hundred twenty-two thousand, eight hundred one".