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381102151153 is a prime number
BaseRepresentation
bin1011000101110110111…
…01010101010111110001
31100102200122221011220011
411202323131111113301
522220444122314103
6451024221414521
736351031556533
oct5427335252761
91312618834804
10381102151153
111376962578a9
1261a3a40a441
1329c263b8569
1414634419853
159da77dad6d
hex58bb7555f1

381102151153 has 2 divisors, whose sum is σ = 381102151154. Its totient is φ = 381102151152.

The previous prime is 381102151127. The next prime is 381102151169. The reversal of 381102151153 is 351151201183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304111440369 + 76990710784 = 551463^2 + 277472^2 .

It is a cyclic number.

It is not a de Polignac number, because 381102151153 - 225 = 381068596721 is a prime.

It is a super-2 number, since 2×3811021511532 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (381102151253) 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 as a sum of consecutive naturals, namely, 190551075576 + 190551075577.

It is an arithmetic number, because the mean of its divisors is an integer number (190551075577).

Almost surely, 2381102151153 is an apocalyptic number.

It is an amenable number.

381102151153 is a deficient number, since it is larger than the sum of its proper divisors (1).

381102151153 is an equidigital number, since it uses as much as digits as its factorization.

381102151153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 381102151153 in words is "three hundred eighty-one billion, one hundred two million, one hundred fifty-one thousand, one hundred fifty-three".