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380133680141 is a prime number
BaseRepresentation
bin1011000100000011011…
…10111010010000001101
31100100012011120202102102
411202001232322100031
522212003210231031
6450344144004445
736315031653065
oct5420156722015
91310164522372
10380133680141
11137239609236
126180a000725
1329b0086a2a7
14145819583a5
159d4c7867cb
hex5881bba40d

380133680141 has 2 divisors, whose sum is σ = 380133680142. Its totient is φ = 380133680140.

The previous prime is 380133680123. The next prime is 380133680159. The reversal of 380133680141 is 141086331083.

It is a balanced prime because it is at equal distance from previous prime (380133680123) and next prime (380133680159).

It can be written as a sum of positive squares in only one way, i.e., 361256294116 + 18877386025 = 601046^2 + 137395^2 .

It is a cyclic number.

It is not a de Polignac number, because 380133680141 - 26 = 380133680077 is a prime.

It is a super-2 number, since 2×3801336801412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380133680095 and 380133680104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (380133680191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190066840070 + 190066840071.

It is an arithmetic number, because the mean of its divisors is an integer number (190066840071).

Almost surely, 2380133680141 is an apocalyptic number.

It is an amenable number.

380133680141 is a deficient number, since it is larger than the sum of its proper divisors (1).

380133680141 is an equidigital number, since it uses as much as digits as its factorization.

380133680141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 380133680141 in words is "three hundred eighty billion, one hundred thirty-three million, six hundred eighty thousand, one hundred forty-one".