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106902152417 is a prime number
BaseRepresentation
bin110001110001111011…
…1010110010011100001
3101012221012021000101102
41203203313112103201
53222413422334132
6121035444044145
710503064205564
oct1434367262341
9335835230342
10106902152417
11413785293a5
1218875393655
13a1087767b8
1452619ca4db
152baa176c62
hex18e3dd64e1

106902152417 has 2 divisors, whose sum is σ = 106902152418. Its totient is φ = 106902152416.

The previous prime is 106902152347. The next prime is 106902152443. The reversal of 106902152417 is 714251209601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68711612641 + 38190539776 = 262129^2 + 195424^2 .

It is a cyclic number.

It is not a de Polignac number, because 106902152417 - 216 = 106902086881 is a prime.

It is a super-2 number, since 2×1069021524172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106902152447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53451076208 + 53451076209.

It is an arithmetic number, because the mean of its divisors is an integer number (53451076209).

Almost surely, 2106902152417 is an apocalyptic number.

It is an amenable number.

106902152417 is a deficient number, since it is larger than the sum of its proper divisors (1).

106902152417 is an equidigital number, since it uses as much as digits as its factorization.

106902152417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 106902152417 in words is "one hundred six billion, nine hundred two million, one hundred fifty-two thousand, four hundred seventeen".