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10120123341 = 3317101419521
BaseRepresentation
bin10010110110011010…
…01101001111001101
3222010021210112101000
421123031031033031
5131211222421331
64352113210513
7505533425526
oct113315151715
928107715330
1010120123341
1143236004a9
121b65260a39
13c53858583
146c00b184d
153e36da0e6
hex25b34d3cd

10120123341 has 64 divisors (see below), whose sum is σ = 16100985600. Its totient is φ = 6259968000.

The previous prime is 10120123313. The next prime is 10120123373. The reversal of 10120123341 is 14332102101.

10120123341 is a `hidden beast` number, since 101 + 201 + 23 + 341 = 666.

It is not a de Polignac number, because 10120123341 - 213 = 10120115149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120123141) 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 in 63 ways as a sum of consecutive naturals, for example, 19424161 + ... + 19424681.

It is an arithmetic number, because the mean of its divisors is an integer number (251577900).

Almost surely, 210120123341 is an apocalyptic number.

It is an amenable number.

10120123341 is a deficient number, since it is larger than the sum of its proper divisors (5980862259).

10120123341 is a wasteful number, since it uses less digits than its factorization.

10120123341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10120123341 its reverse (14332102101), we get a palindrome (24452225442).

The spelling of 10120123341 in words is "ten billion, one hundred twenty million, one hundred twenty-three thousand, three hundred forty-one".

Divisors: 1 3 9 17 27 51 101 153 303 419 459 521 909 1257 1563 1717 2727 3771 4689 5151 7123 8857 11313 14067 15453 21369 26571 42319 46359 52621 64107 79713 126957 157863 192321 218299 239139 380871 473589 654897 719423 894557 1142613 1420767 1964691 2158269 2683671 3711083 5894073 6474807 8051013 11133249 19424421 22048199 24153039 33399747 66144597 100199241 198433791 374819383 595301373 1124458149 3373374447 10120123341