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10100131219 is a prime number
BaseRepresentation
bin10010110100000001…
…11100010110010011
3222001220011211100001
421122000330112103
5131141113144334
64350120510431
7505201461463
oct113200742623
928056154301
1010100131219
114313296092
121b5a61b417
13c4c678909
146bb589ba3
153e1a8b714
hex25a03c593

10100131219 has 2 divisors, whose sum is σ = 10100131220. Its totient is φ = 10100131218.

The previous prime is 10100131201. The next prime is 10100131229. The reversal of 10100131219 is 91213100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100131219 - 29 = 10100130707 is a prime.

It is a super-2 number, since 2×101001312192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100131196 and 10100131205.

It is not a weakly prime, because it can be changed into another prime (10100131229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050065609 + 5050065610.

It is an arithmetic number, because the mean of its divisors is an integer number (5050065610).

Almost surely, 210100131219 is an apocalyptic number.

10100131219 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100131219 is an equidigital number, since it uses as much as digits as its factorization.

10100131219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 10100131219 in words is "ten billion, one hundred million, one hundred thirty-one thousand, two hundred nineteen".