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106526022521 is a prime number
BaseRepresentation
bin110001100110101110…
…0100001101101111001
3101011221222111122011112
41203031130201231321
53221131130210041
6120534250210105
710460546152142
oct1431534415571
9334858448145
10106526022521
11411a5187446
121878b423935
13a078872029
145227a7aac9
152b8712adeb
hex18cd721b79

106526022521 has 2 divisors, whose sum is σ = 106526022522. Its totient is φ = 106526022520.

The previous prime is 106526022487. The next prime is 106526022539. The reversal of 106526022521 is 125220625601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66030497296 + 40495525225 = 256964^2 + 201235^2 .

It is a cyclic number.

It is not a de Polignac number, because 106526022521 - 226 = 106458913657 is a prime.

It is a super-2 number, since 2×1065260225212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106526022221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53263011260 + 53263011261.

It is an arithmetic number, because the mean of its divisors is an integer number (53263011261).

Almost surely, 2106526022521 is an apocalyptic number.

It is an amenable number.

106526022521 is a deficient number, since it is larger than the sum of its proper divisors (1).

106526022521 is an equidigital number, since it uses as much as digits as its factorization.

106526022521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 106526022521 in words is "one hundred six billion, five hundred twenty-six million, twenty-two thousand, five hundred twenty-one".