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73013127037 is a prime number
BaseRepresentation
bin100001111111111101…
…0111110011101111101
320222110102002011010021
41003333322332131331
52144012330031122
653313004412141
75163222224404
oct1037772763575
9228412064107
1073013127037
1128a68009004
1212197b47051
136b67776b66
143768c7863b
151d74de91c7
hex10ffebe77d

73013127037 has 2 divisors, whose sum is σ = 73013127038. Its totient is φ = 73013127036.

The previous prime is 73013127013. The next prime is 73013127041. The reversal of 73013127037 is 73072131037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72020309956 + 992817081 = 268366^2 + 31509^2 .

It is a cyclic number.

It is not a de Polignac number, because 73013127037 - 231 = 70865643389 is a prime.

It is a super-2 number, since 2×730131270372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73013126993 and 73013127011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73013127137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36506563518 + 36506563519.

It is an arithmetic number, because the mean of its divisors is an integer number (36506563519).

Almost surely, 273013127037 is an apocalyptic number.

It is an amenable number.

73013127037 is a deficient number, since it is larger than the sum of its proper divisors (1).

73013127037 is an equidigital number, since it uses as much as digits as its factorization.

73013127037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522, while the sum is 34.

The spelling of 73013127037 in words is "seventy-three billion, thirteen million, one hundred twenty-seven thousand, thirty-seven".