Search a number
-
+
10230013100321 = 7314091061108637
BaseRepresentation
bin1001010011011101110001…
…0011000000000100100001
31100012222110012110101221222
42110313130103000010201
52320102031323202241
633431334140024425
72104044155421440
oct224673423000441
940188405411858
1010230013100321
113294584776763
12119278a832115
135928bc478551
142751c72a8d57
1512b18d22ca4b
hex94ddc4c0121

10230013100321 has 32 divisors (see below), whose sum is σ = 12109608437760. Its totient is φ = 8456921510400.

The previous prime is 10230013100317. The next prime is 10230013100323. The reversal of 10230013100321 is 12300131003201.

It is a cyclic number.

It is not a de Polignac number, because 10230013100321 - 22 = 10230013100317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10230013100321.

It is not an unprimeable number, because it can be changed into a prime (10230013100323) 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 31 ways as a sum of consecutive naturals, for example, 94112615 + ... + 94221251.

It is an arithmetic number, because the mean of its divisors is an integer number (378425263680).

Almost surely, 210230013100321 is an apocalyptic number.

It is an amenable number.

10230013100321 is a deficient number, since it is larger than the sum of its proper divisors (1879595337439).

10230013100321 is a wasteful number, since it uses less digits than its factorization.

10230013100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110145.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10230013100321 its reverse (12300131003201), we get a palindrome (22530144103522).

The spelling of 10230013100321 in words is "ten trillion, two hundred thirty billion, thirteen million, one hundred thousand, three hundred twenty-one".

Divisors: 1 7 31 217 409 1061 2863 7427 12679 32891 88753 108637 230237 433949 760459 3037643 3367747 13452419 23574229 44432533 94166933 115263857 311027731 806846999 1377408523 3573179567 9641859661 25012256969 47142917513 330000422591 1461430442903 10230013100321