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10240112104005 = 3574120291172329
BaseRepresentation
bin1001010100000011011000…
…1111101001001001000101
31100020221112000111221121110
42111000312033221021011
52320233222144312010
633440124220435233
72104552344506040
oct225006617511105
940227460457543
1010240112104005
1132988973616a3
1211947289a8b19
1359383b81ab84
142758a463dc57
1512b57eb45120
hex950363e9245

10240112104005 has 64 divisors (see below), whose sum is σ = 19190948313600. Its totient is φ = 4564763873280.

The previous prime is 10240112103953. The next prime is 10240112104069. The reversal of 10240112104005 is 50040121104201.

It is not a de Polignac number, because 10240112104005 - 27 = 10240112103877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 8148681 + ... + 9321009.

It is an arithmetic number, because the mean of its divisors is an integer number (299858567400).

Almost surely, 210240112104005 is an apocalyptic number.

10240112104005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10240112104005 is a deficient number, since it is larger than the sum of its proper divisors (8950836209595).

10240112104005 is a wasteful number, since it uses less digits than its factorization.

10240112104005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174414.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10240112104005 its reverse (50040121104201), we get a palindrome (60280233208206).

The spelling of 10240112104005 in words is "ten trillion, two hundred forty billion, one hundred twelve million, one hundred four thousand, five".

Divisors: 1 3 5 7 15 21 35 41 105 123 205 287 615 861 1435 2029 4305 6087 10145 14203 30435 42609 71015 83189 213045 249567 415945 582323 1172329 1247835 1746969 2911615 3516987 5861645 8206303 8734845 17584935 24618909 41031515 48065489 123094545 144196467 240327445 336458423 720982335 1009375269 1682292115 2378655541 5046876345 7135966623 11893277705 16650588787 35679833115 49951766361 83252943935 97524877181 249758831805 292574631543 487624385905 682674140267 1462873157715 2048022420801 3413370701335 10240112104005