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105133670221 is a prime number
BaseRepresentation
bin110000111101001110…
…1000111111101001101
3101001100221112210212211
41201322131013331031
53210303204421341
6120144151230421
710411211311036
oct1417235077515
9331327483784
10105133670221
1140650241568
1218461078411
139bb6270528
145134b99a8d
152b04c97181
hex187a747f4d

105133670221 has 2 divisors, whose sum is σ = 105133670222. Its totient is φ = 105133670220.

The previous prime is 105133670179. The next prime is 105133670233. The reversal of 105133670221 is 122076331501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102531242025 + 2602428196 = 320205^2 + 51014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105133670221 is a prime.

It is a super-2 number, since 2×1051336702212 (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 (105133670921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52566835110 + 52566835111.

It is an arithmetic number, because the mean of its divisors is an integer number (52566835111).

Almost surely, 2105133670221 is an apocalyptic number.

It is an amenable number.

105133670221 is a deficient number, since it is larger than the sum of its proper divisors (1).

105133670221 is an equidigital number, since it uses as much as digits as its factorization.

105133670221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 105133670221 in words is "one hundred five billion, one hundred thirty-three million, six hundred seventy thousand, two hundred twenty-one".