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37131000349 is a prime number
BaseRepresentation
bin100010100101001011…
…100001101000011101
310112211201112020212011
4202211023201220131
51102021014002344
625020250111221
72453066203222
oct424513415035
9115751466764
1037131000349
1114824533153
12724311b511
133669876c31
141b23545949
15e74bbcd34
hex8a52e1a1d

37131000349 has 2 divisors, whose sum is σ = 37131000350. Its totient is φ = 37131000348.

The previous prime is 37131000341. The next prime is 37131000371. The reversal of 37131000349 is 94300013173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36905099449 + 225900900 = 192107^2 + 15030^2 .

It is a cyclic number.

It is not a de Polignac number, because 37131000349 - 23 = 37131000341 is a prime.

It is a super-2 number, since 2×371310003492 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37131000349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37131000341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18565500174 + 18565500175.

It is an arithmetic number, because the mean of its divisors is an integer number (18565500175).

Almost surely, 237131000349 is an apocalyptic number.

It is an amenable number.

37131000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

37131000349 is an equidigital number, since it uses as much as digits as its factorization.

37131000349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 37131000349 in words is "thirty-seven billion, one hundred thirty-one million, three hundred forty-nine", and thus it is an aban number.