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10241253134505 = 3251163520937567
BaseRepresentation
bin1001010100000111101001…
…0000010101000010101001
31100021001110112120022012100
42111001322100111002221
52320243041300301010
633440433341004013
72104622541221421
oct225017220250251
940231415508170
1010241253134505
113299322450808
1211949a6b53609
13593991036453
14275971dbd481
1512b5e9dd32c0
hex9507a4150a9

10241253134505 has 48 divisors (see below), whose sum is σ = 17770652789760. Its totient is φ = 5456112286464.

The previous prime is 10241253134491. The next prime is 10241253134531. The reversal of 10241253134505 is 50543135214201.

10241253134505 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 12 + 5 + 3 + 134 + 505 = 666.

It is not a de Polignac number, because 10241253134505 - 27 = 10241253134377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10241253134505.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 272594232 + ... + 272631798.

It is an arithmetic number, because the mean of its divisors is an integer number (370221933120).

Almost surely, 210241253134505 is an apocalyptic number.

10241253134505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10241253134505 is a deficient number, since it is larger than the sum of its proper divisors (7529399655255).

10241253134505 is a wasteful number, since it uses less digits than its factorization.

10241253134505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43950 (or 43947 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10241253134505 its reverse (50543135214201), we get a palindrome (60784388348706).

The spelling of 10241253134505 in words is "ten trillion, two hundred forty-one billion, two hundred fifty-three million, one hundred thirty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 45 1163 3489 5209 5815 10467 15627 17445 26045 37567 46881 52335 78135 112701 187835 234405 338103 563505 1690515 6058067 18174201 30290335 43690421 54522603 90871005 131071263 195686503 218452105 272613015 393213789 587059509 655356315 978432515 1761178527 1966068945 2935297545 8805892635 227583402989 682750208967 1137917014945 2048250626901 3413751044835 10241253134505