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106601452501 is a prime number
BaseRepresentation
bin110001101000111110…
…0010001001111010101
3101012011020102212122111
41203101330101033111
53221304432440001
6120545543031021
710462453252465
oct1432174211725
9335136385574
10106601452501
1141233817075
12187b073b471
13a08b39225b
145233ab3ba5
152b8da7a851
hex18d1f113d5

106601452501 has 2 divisors, whose sum is σ = 106601452502. Its totient is φ = 106601452500.

The previous prime is 106601452453. The next prime is 106601452513. The reversal of 106601452501 is 105254106601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101206696900 + 5394755601 = 318130^2 + 73449^2 .

It is a cyclic number.

It is not a de Polignac number, because 106601452501 - 211 = 106601450453 is a prime.

It is a super-2 number, since 2×1066014525012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106601452541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53300726250 + 53300726251.

It is an arithmetic number, because the mean of its divisors is an integer number (53300726251).

Almost surely, 2106601452501 is an apocalyptic number.

It is an amenable number.

106601452501 is a deficient number, since it is larger than the sum of its proper divisors (1).

106601452501 is an equidigital number, since it uses as much as digits as its factorization.

106601452501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 106601452501 in words is "one hundred six billion, six hundred one million, four hundred fifty-two thousand, five hundred one".