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381378153149101 is a prime number
BaseRepresentation
bin101011010110111001000010…
…1010101111111001010101101
31212000100101200020002101120001
41112231302011111333022231
5344441444424201232401
63431042412125424301
7143221443110235553
oct12655620525771255
91760311606071501
10381378153149101
11100578625a43479
1236935783a0b091
13134a5a61981294
146a26b3031dbd3
152e157c347b601
hex15adc8557f2ad

381378153149101 has 2 divisors, whose sum is σ = 381378153149102. Its totient is φ = 381378153149100.

The previous prime is 381378153149099. The next prime is 381378153149207. The reversal of 381378153149101 is 101941351873183.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199427325271876 + 181950827877225 = 14121874^2 + 13488915^2 .

It is an emirp because it is prime and its reverse (101941351873183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 381378153149101 - 21 = 381378153149099 is a prime.

Together with 381378153149099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381378153129101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190689076574550 + 190689076574551.

It is an arithmetic number, because the mean of its divisors is an integer number (190689076574551).

Almost surely, 2381378153149101 is an apocalyptic number.

It is an amenable number.

381378153149101 is a deficient number, since it is larger than the sum of its proper divisors (1).

381378153149101 is an equidigital number, since it uses as much as digits as its factorization.

381378153149101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 381378153149101 in words is "three hundred eighty-one trillion, three hundred seventy-eight billion, one hundred fifty-three million, one hundred forty-nine thousand, one hundred one".