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102225453541 = 1734938944293
BaseRepresentation
bin101111100110100011…
…1001010000111100101
3100202212021020002120221
41133031013022013211
53133324204003131
6114543422124341
710246146006151
oct1371507120745
9322767202527
10102225453541
113a398670302
121798b1206b1
1398418b3863
144d3a846061
1529d47d3411
hex17cd1ca1e5

102225453541 has 16 divisors (see below), whose sum is σ = 108830358000. Its totient is φ = 95687728128.

The previous prime is 102225453523. The next prime is 102225453599. The reversal of 102225453541 is 145354522201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11471481025 + 90753972516 = 107105^2 + 301254^2 .

It is a cyclic number.

It is not a de Polignac number, because 102225453541 - 213 = 102225445349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102225453497 and 102225453506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102225453041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285791 + ... + 2330083.

It is an arithmetic number, because the mean of its divisors is an integer number (6801897375).

Almost surely, 2102225453541 is an apocalyptic number.

It is an amenable number.

102225453541 is a deficient number, since it is larger than the sum of its proper divisors (6604904459).

102225453541 is a wasteful number, since it uses less digits than its factorization.

102225453541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45048.

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 102225453541 its reverse (145354522201), we get a palindrome (247579975742).

The spelling of 102225453541 in words is "one hundred two billion, two hundred twenty-five million, four hundred fifty-three thousand, five hundred forty-one".

Divisors: 1 17 349 389 5933 6613 44293 135761 752981 2307937 15458257 17229977 262790369 292909609 6013261973 102225453541