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101402113 is a prime number
BaseRepresentation
bin1100000101101…
…00011000000001
321001210202112211
412002310120001
5201424331423
614021222121
72340621661
oct602643001
9231722484
10101402113
11522699aa
1229b61941
1318014a67
14d6781a1
158d8010d
hex60b4601

101402113 has 2 divisors, whose sum is σ = 101402114. Its totient is φ = 101402112.

The previous prime is 101402111. The next prime is 101402117. The reversal of 101402113 is 311204101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90193009 + 11209104 = 9497^2 + 3348^2 .

It is a cyclic number.

It is not a de Polignac number, because 101402113 - 21 = 101402111 is a prime.

Together with 101402111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101402093 and 101402102.

It is not a weakly prime, because it can be changed into another prime (101402111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50701056 + 50701057.

It is an arithmetic number, because the mean of its divisors is an integer number (50701057).

Almost surely, 2101402113 is an apocalyptic number.

It is an amenable number.

101402113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101402113 is an equidigital number, since it uses as much as digits as its factorization.

101402113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101402113 is about 10069.8616177185. The cubic root of 101402113 is about 466.3181667375.

Adding to 101402113 its reverse (311204101), we get a palindrome (412606214).

The spelling of 101402113 in words is "one hundred one million, four hundred two thousand, one hundred thirteen".