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20107101013 is a prime number
BaseRepresentation
bin10010101110011110…
…100000001101010101
31220220022001120012221
4102232132200031111
5312134404213023
613123112542341
71311162352516
oct225636401525
956808046187
1020107101013
118588a3065a
123a919b19b1
131b8593660c
14d8a604a0d
157ca37485d
hex4ae7a0355

20107101013 has 2 divisors, whose sum is σ = 20107101014. Its totient is φ = 20107101012.

The previous prime is 20107100989. The next prime is 20107101029. The reversal of 20107101013 is 31010170102.

It is an a-pointer prime, because the next prime (20107101029) can be obtained adding 20107101013 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., 14496641604 + 5610459409 = 120402^2 + 74903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20107101013 is a prime.

It is a super-2 number, since 2×201071010132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20107101073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10053550506 + 10053550507.

It is an arithmetic number, because the mean of its divisors is an integer number (10053550507).

Almost surely, 220107101013 is an apocalyptic number.

It is an amenable number.

20107101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20107101013 is an equidigital number, since it uses as much as digits as its factorization.

20107101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 20107101013 its reverse (31010170102), we get a palindrome (51117271115).

The spelling of 20107101013 in words is "twenty billion, one hundred seven million, one hundred one thousand, thirteen".