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106503953417 is a prime number
BaseRepresentation
bin110001100110000100…
…0010101110000001001
3101011220102222102001022
41203030020111300021
53221110003002132
6120532141202225
710460160444551
oct1431410256011
9334812872038
10106503953417
1141193783614
1218783b60375
13a074115ba4
145224b74161
152b8521be12
hex18cc215c09

106503953417 has 2 divisors, whose sum is σ = 106503953418. Its totient is φ = 106503953416.

The previous prime is 106503953357. The next prime is 106503953419. The reversal of 106503953417 is 714359305601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99736587721 + 6767365696 = 315811^2 + 82264^2 .

It is a cyclic number.

It is not a de Polignac number, because 106503953417 - 228 = 106235517961 is a prime.

It is a super-2 number, since 2×1065039534172 (a number of 23 digits) contains 22 as substring.

Together with 106503953419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106503953419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53251976708 + 53251976709.

It is an arithmetic number, because the mean of its divisors is an integer number (53251976709).

Almost surely, 2106503953417 is an apocalyptic number.

It is an amenable number.

106503953417 is a deficient number, since it is larger than the sum of its proper divisors (1).

106503953417 is an equidigital number, since it uses as much as digits as its factorization.

106503953417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 340200, while the sum is 44.

The spelling of 106503953417 in words is "one hundred six billion, five hundred three million, nine hundred fifty-three thousand, four hundred seventeen".