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10240451101001 = 1121919919223621
BaseRepresentation
bin1001010100000100101001…
…1100110100000101001001
31100020222101122101210001202
42111001022130310011021
52320234420440213001
633440222010353545
72104563632105342
oct225011234640511
940228348353052
1010240451101001
113298a50751100
12119480242b8b5
13593893b20b04
142758d76850c9
1512b59e7a896b
hex9504a734149

10240451101001 has 24 divisors (see below), whose sum is σ = 11849103638400. Its totient is φ = 8819045056800.

The previous prime is 10240451100983. The next prime is 10240451101009. The reversal of 10240451101001 is 10010115404201.

It is a de Polignac number, because none of the positive numbers 2k-10240451101001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10240451101009) 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 23 ways as a sum of consecutive naturals, for example, 45681971 + ... + 45905591.

It is an arithmetic number, because the mean of its divisors is an integer number (493712651600).

Almost surely, 210240451101001 is an apocalyptic number.

10240451101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10240451101001 is a deficient number, since it is larger than the sum of its proper divisors (1608652537399).

10240451101001 is a wasteful number, since it uses less digits than its factorization.

10240451101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243581 (or 243570 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 10240451101001 its reverse (10010115404201), we get a palindrome (20250566505202).

The spelling of 10240451101001 in words is "ten trillion, two hundred forty billion, four hundred fifty-one million, one hundred one thousand, one".

Divisors: 1 11 19 121 209 2299 19919 219109 223621 378461 2410199 2459831 4163071 4248799 27058141 45793781 46736789 514104679 4454306699 48997373689 84631827281 538971110579 930950100091 10240451101001