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10000000000037 is a prime number
BaseRepresentation
bin1001000110000100111001…
…1100101010000000100101
31022101222202012020020212202
42101201032130222000211
52302320000000000122
633133534145024245
72051322215344355
oct221411634520045
938358665206782
1010000000000037
113205a81334053
121156097925085
13576cc4158548
1426800712cb65
151251c9e42e92
hex9184e72a025

10000000000037 has 2 divisors, whose sum is σ = 10000000000038. Its totient is φ = 10000000000036.

The previous prime is 9999999999971. The next prime is 10000000000051. The reversal of 10000000000037 is 73000000000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6791892727876 + 3208107272161 = 2606126^2 + 1791119^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000000000037 - 230 = 9998926258213 is a prime.

It is a super-3 number, since 3×100000000000373 (a number of 40 digits) contains 333 as substring.

10000000000037 is a modest number, since divided by 37 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9999999999928 and 10000000000027.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000000090037) 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, 5000000000018 + 5000000000019.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000000019).

Almost surely, 210000000000037 is an apocalyptic number.

It is an amenable number.

10000000000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000000000037 is an equidigital number, since it uses as much as digits as its factorization.

10000000000037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 11.

Adding to 10000000000037 its reverse (73000000000001), we get a palindrome (83000000000038).

The spelling of 10000000000037 in words is "ten trillion, thirty-seven", and thus it is an aban number and an uban number.