Search a number
-
+
241005100397 is a prime number
BaseRepresentation
bin1110000001110100000…
…1011111110101101101
3212001002001121121112112
43200131001133311231
512422034301203042
6302414411413405
723261221360445
oct3403501376555
9761061547475
10241005100397
1193234107026
123a860154265
131995a6a62a9
14b943d67125
1564082e8982
hex381d05fd6d

241005100397 has 2 divisors, whose sum is σ = 241005100398. Its totient is φ = 241005100396.

The previous prime is 241005100381. The next prime is 241005100409. The reversal of 241005100397 is 793001500142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183167736361 + 57837364036 = 427981^2 + 240494^2 .

It is a cyclic number.

It is not a de Polignac number, because 241005100397 - 24 = 241005100381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241005100307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120502550198 + 120502550199.

It is an arithmetic number, because the mean of its divisors is an integer number (120502550199).

Almost surely, 2241005100397 is an apocalyptic number.

It is an amenable number.

241005100397 is a deficient number, since it is larger than the sum of its proper divisors (1).

241005100397 is an equidigital number, since it uses as much as digits as its factorization.

241005100397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 241005100397 in words is "two hundred forty-one billion, five million, one hundred thousand, three hundred ninety-seven".