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101182840037 is a prime number
BaseRepresentation
bin101111000111011110…
…1111001110011100101
3100200011121100211201222
41132032331321303211
53124210301340122
6114252135230125
710211255643506
oct1361675716345
9320147324658
10101182840037
1139a03091354
1217739b18345
1397068a63a6
144c7c1a4bad
152972ed5b42
hex178ef79ce5

101182840037 has 2 divisors, whose sum is σ = 101182840038. Its totient is φ = 101182840036.

The previous prime is 101182840013. The next prime is 101182840043. The reversal of 101182840037 is 730048281101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64028735521 + 37154104516 = 253039^2 + 192754^2 .

It is an emirp because it is prime and its reverse (730048281101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101182840037 - 214 = 101182823653 is a prime.

It is a super-2 number, since 2×1011828400372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101182839979 and 101182840006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101182840007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50591420018 + 50591420019.

It is an arithmetic number, because the mean of its divisors is an integer number (50591420019).

Almost surely, 2101182840037 is an apocalyptic number.

It is an amenable number.

101182840037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101182840037 is an equidigital number, since it uses as much as digits as its factorization.

101182840037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 101182840037 in words is "one hundred one billion, one hundred eighty-two million, eight hundred forty thousand, thirty-seven".