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101370013 is a prime number
BaseRepresentation
bin1100000101011…
…00100010011101
321001202010111221
412002230202131
5201422320023
614020413341
72340426253
oct602544235
9231663457
10101370013
1152247878
1229b47251
1318003274
14d66a5d3
158d7585d
hex60ac89d

101370013 has 2 divisors, whose sum is σ = 101370014. Its totient is φ = 101370012.

The previous prime is 101369987. The next prime is 101370029. The reversal of 101370013 is 310073101.

It is a happy number.

It is an a-pointer prime, because the next prime (101370029) can be obtained adding 101370013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98366724 + 3003289 = 9918^2 + 1733^2 .

It is a cyclic number.

It is not a de Polignac number, because 101370013 - 217 = 101238941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101370043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50685006 + 50685007.

It is an arithmetic number, because the mean of its divisors is an integer number (50685007).

Almost surely, 2101370013 is an apocalyptic number.

It is an amenable number.

101370013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101370013 is an equidigital number, since it uses as much as digits as its factorization.

101370013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 101370013 is about 10068.2676265582. The cubic root of 101370013 is about 466.2689554259.

The spelling of 101370013 in words is "one hundred one million, three hundred seventy thousand, thirteen".