Search a number
-
+
10320123111221 = 7111071930964871
BaseRepresentation
bin1001011000101101011101…
…0001011010011100110101
31100112121001010100020200002
42112023113101122130311
52323041103004024341
633540555450201045
72113414162033460
oct226132721323465
940477033306602
1010320123111221
1133198154a6650
1211a8138423185
1359b250007b21
142796d4a422d7
1512d6b408a29b
hex962d745a735

10320123111221 has 32 divisors (see below), whose sum is σ = 12987768821760. Its totient is φ = 7965963345600.

The previous prime is 10320123111169. The next prime is 10320123111241. The reversal of 10320123111221 is 12211132102301.

It is a cyclic number.

It is not a de Polignac number, because 10320123111221 - 218 = 10320122849077 is a prime.

It is a super-3 number, since 3×103201231112213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10320123111193 and 10320123111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320123111241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159054416 + ... + 159119286.

It is an arithmetic number, because the mean of its divisors is an integer number (405867775680).

Almost surely, 210320123111221 is an apocalyptic number.

10320123111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10320123111221 is a deficient number, since it is larger than the sum of its proper divisors (2667645710539).

10320123111221 is a wasteful number, since it uses less digits than its factorization.

10320123111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84305.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10320123111221 its reverse (12211132102301), we get a palindrome (22531255213522).

The spelling of 10320123111221 in words is "ten trillion, three hundred twenty billion, one hundred twenty-three million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 77 107 749 1177 8239 19309 64871 135163 212399 454097 713581 1486793 2066063 4995067 6941197 14462441 22726693 48588379 76353167 159086851 534472169 1252594139 8768158973 13778535529 96449748703 134027572873 938193010111 1474303301603 10320123111221