Search a number
-
+
10241234210145 = 352389601554969
BaseRepresentation
bin1001010100000111100100…
…1000001000110101100001
31100021001102012221211212010
42111001321020020311201
52320243021424211040
633440431423223133
72104622221322361
oct225017110106541
940231365854763
1010241234210145
1132993127a5644
1211949a0747aa9
1359398a13b7c3
1427596d6949a1
1512b5e83e5e80
hex95079208d61

10241234210145 has 64 divisors (see below), whose sum is σ = 17319326169600. Its totient is φ = 5157206630400.

The previous prime is 10241234210087. The next prime is 10241234210227. The reversal of 10241234210145 is 54101243214201.

It is not a de Polignac number, because 10241234210145 - 28 = 10241234209889 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 18176221 + ... + 18731189.

It is an arithmetic number, because the mean of its divisors is an integer number (270614471400).

Almost surely, 210241234210145 is an apocalyptic number.

10241234210145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10241234210145 is a deficient number, since it is larger than the sum of its proper divisors (7078091959455).

10241234210145 is a wasteful number, since it uses less digits than its factorization.

10241234210145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555690.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10241234210145 its reverse (54101243214201), we get a palindrome (64342477424346).

The spelling of 10241234210145 in words is "ten trillion, two hundred forty-one billion, two hundred thirty-four million, two hundred ten thousand, one hundred forty-five".

Divisors: 1 3 5 15 23 69 89 115 267 345 445 601 1335 1803 2047 3005 6141 9015 10235 13823 30705 41469 53489 69115 160467 207345 267445 554969 802335 1230247 1664907 2774845 3690741 6151235 8324535 12764287 18453705 38292861 49392241 63821435 148176723 191464305 246961205 333536369 740883615 1000609107 1136021543 1667681845 3408064629 5003045535 5680107715 7671336487 17040323145 23014009461 29684736841 38356682435 89054210523 115070047305 148423684205 445271052615 682748947343 2048246842029 3413744736715 10241234210145