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10123144241 = 717372299147
BaseRepresentation
bin10010110110110001…
…01110110000110001
3222010111111000021012
421123120232300301
5131213011103431
64352302040305
7505601210030
oct113330566061
928114430235
1010123144241
114325284111
121b66279095
13c543755a2
146c065a717
153e3ad522b
hex25b62ec31

10123144241 has 16 divisors (see below), whose sum is σ = 12580937856. Its totient is φ = 7945848576.

The previous prime is 10123144217. The next prime is 10123144267. The reversal of 10123144241 is 14244132101.

10123144241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10123144241 - 218 = 10122882097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10123144201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145171 + ... + 1153976.

It is an arithmetic number, because the mean of its divisors is an integer number (786308616).

Almost surely, 210123144241 is an apocalyptic number.

It is an amenable number.

10123144241 is a deficient number, since it is larger than the sum of its proper divisors (2457793615).

10123144241 is a wasteful number, since it uses less digits than its factorization.

10123144241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299208.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10123144241 its reverse (14244132101), we get a palindrome (24367276342).

The spelling of 10123144241 in words is "ten billion, one hundred twenty-three million, one hundred forty-four thousand, two hundred forty-one".

Divisors: 1 7 17 37 119 259 629 4403 2299147 16094029 39085499 85068439 273598493 595479073 1446163463 10123144241