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1001100000037 is a prime number
BaseRepresentation
bin11101001000101100011…
…01011011101100100101
310112201000101021012212011
432210112031123230211
5112400223100000122
62043522103154221
7132220122412144
oct16442615335445
93481011235764
101001100000037
11356622940235
1214202a445971
1373532149537
143664c58575b
151b0930ec377
hexe91635bb25

1001100000037 has 2 divisors, whose sum is σ = 1001100000038. Its totient is φ = 1001100000036.

The previous prime is 1001100000001. The next prime is 1001100000067. The reversal of 1001100000037 is 7300000011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 813605804001 + 187494196036 = 902001^2 + 433006^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100000037 - 239 = 451344186149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001099999972 and 1001100000026.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001100000067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550000018 + 500550000019.

It is an arithmetic number, because the mean of its divisors is an integer number (500550000019).

Almost surely, 21001100000037 is an apocalyptic number.

It is an amenable number.

1001100000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100000037 is an equidigital number, since it uses as much as digits as its factorization.

1001100000037 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 13.

Adding to 1001100000037 its reverse (7300000011001), we get a palindrome (8301100011038).

The spelling of 1001100000037 in words is "one trillion, one billion, one hundred million, thirty-seven", and thus it is an aban number.