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100088647541 is a prime number
BaseRepresentation
bin101110100110110111…
…1111000111101110101
3100120100100110002210222
41131031233320331311
53114440143210131
6113551411024125
710142201316101
oct1351557707565
9316310402728
10100088647541
11394a1483333
121749359b045
139590ca9bcc
144bb6b38901
15290bdea87b
hex174dbf8f75

100088647541 has 2 divisors, whose sum is σ = 100088647542. Its totient is φ = 100088647540.

The previous prime is 100088647523. The next prime is 100088647543. The reversal of 100088647541 is 145746880001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72762904516 + 27325743025 = 269746^2 + 165305^2 .

It is a cyclic number.

It is not a de Polignac number, because 100088647541 - 210 = 100088646517 is a prime.

It is a Sophie Germain prime.

Together with 100088647543, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100088647492 and 100088647501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100088647543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50044323770 + 50044323771.

It is an arithmetic number, because the mean of its divisors is an integer number (50044323771).

Almost surely, 2100088647541 is an apocalyptic number.

It is an amenable number.

100088647541 is a deficient number, since it is larger than the sum of its proper divisors (1).

100088647541 is an equidigital number, since it uses as much as digits as its factorization.

100088647541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 100088647541 in words is "one hundred billion, eighty-eight million, six hundred forty-seven thousand, five hundred forty-one".