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20100100037 is a prime number
BaseRepresentation
bin10010101110000011…
…110010111111000101
31220212210212212200112
4102232003302333011
5312131111200122
613122302522405
71311046013513
oct225603627705
956783785615
1020100100037
118584a89726
123a8b596405
131b84354b24
14d897014b3
157c99402e2
hex4ae0f2fc5

20100100037 has 2 divisors, whose sum is σ = 20100100038. Its totient is φ = 20100100036.

The previous prime is 20100099997. The next prime is 20100100049. The reversal of 20100100037 is 73000100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11788313476 + 8311786561 = 108574^2 + 91169^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100100037 - 210 = 20100099013 is a prime.

It is a super-3 number, since 3×201001000373 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20100099994 and 20100100030.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100100087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050050018 + 10050050019.

It is an arithmetic number, because the mean of its divisors is an integer number (10050050019).

Almost surely, 220100100037 is an apocalyptic number.

It is an amenable number.

20100100037 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100100037 is an equidigital number, since it uses as much as digits as its factorization.

20100100037 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 14.

Adding to 20100100037 its reverse (73000100102), we get a palindrome (93100200139).

The spelling of 20100100037 in words is "twenty billion, one hundred million, one hundred thousand, thirty-seven".