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2231434233137 is a prime number
BaseRepresentation
bin100000011110001011110…
…110000100010100110001
321220022201111012000211102
4200132023312010110301
5243024434130430022
64425035015454145
7320134010012444
oct40361366042461
97808644160742
102231434233137
117903894a665a
12300572987355
13132567121aa5
147a00567d65b
153d0a0e33a92
hex2078bd84531

2231434233137 has 2 divisors, whose sum is σ = 2231434233138. Its totient is φ = 2231434233136.

The previous prime is 2231434233113. The next prime is 2231434233227. The reversal of 2231434233137 is 7313324341322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1616651218576 + 614783014561 = 1271476^2 + 784081^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231434233137 - 218 = 2231433970993 is a prime.

It is a super-3 number, since 3×22314342331373 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2231434233137.

It is not a weakly prime, because it can be changed into another prime (2231434233107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115717116568 + 1115717116569.

It is an arithmetic number, because the mean of its divisors is an integer number (1115717116569).

Almost surely, 22231434233137 is an apocalyptic number.

It is an amenable number.

2231434233137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231434233137 is an equidigital number, since it uses as much as digits as its factorization.

2231434233137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 217728, while the sum is 38.

Adding to 2231434233137 its reverse (7313324341322), we get a palindrome (9544758574459).

The spelling of 2231434233137 in words is "two trillion, two hundred thirty-one billion, four hundred thirty-four million, two hundred thirty-three thousand, one hundred thirty-seven".