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242201023957 is a prime number
BaseRepresentation
bin1110000110010001001…
…1100101010111010101
3212011011101221211020201
43201210103211113111
512432011430231312
6303133212300501
723332652510164
oct3414423452725
9764141854221
10242201023957
1193798189102
123ab34771731
1319abb3a1179
14ba18b153db
1564782cb557
hex38644e55d5

242201023957 has 2 divisors, whose sum is σ = 242201023958. Its totient is φ = 242201023956.

The previous prime is 242201023931. The next prime is 242201024033. The reversal of 242201023957 is 759320102242.

242201023957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161158890916 + 81042133041 = 401446^2 + 284679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242201023957 is a prime.

It is a super-2 number, since 2×2422010239572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242201023907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121100511978 + 121100511979.

It is an arithmetic number, because the mean of its divisors is an integer number (121100511979).

Almost surely, 2242201023957 is an apocalyptic number.

It is an amenable number.

242201023957 is a deficient number, since it is larger than the sum of its proper divisors (1).

242201023957 is an equidigital number, since it uses as much as digits as its factorization.

242201023957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 242201023957 in words is "two hundred forty-two billion, two hundred one million, twenty-three thousand, nine hundred fifty-seven".