Search a number
-
+
1000111320221 = 13293185574683
BaseRepresentation
bin11101000110110110100…
…01111010110010011101
310112121110110220002010012
432203123101322302131
5112341211444221341
62043240024253005
7132153455646536
oct16433321726235
93477413802105
101000111320221
11356165849482
121419b3311165
1373405373ab0
143659714368d
151b0364050eb
hexe8db47ac9d

1000111320221 has 16 divisors (see below), whose sum is σ = 1150123752960. Its totient is φ = 862592794560.

The previous prime is 1000111320211. The next prime is 1000111320239. The reversal of 1000111320221 is 1220231110001.

It is a cyclic number.

It is not a de Polignac number, because 1000111320221 - 214 = 1000111303837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000111320196 and 1000111320205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111320211) 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 15 ways as a sum of consecutive naturals, for example, 42775655 + ... + 42799028.

It is an arithmetic number, because the mean of its divisors is an integer number (71882734560).

Almost surely, 21000111320221 is an apocalyptic number.

It is an amenable number.

1000111320221 is a deficient number, since it is larger than the sum of its proper divisors (150012432739).

1000111320221 is a wasteful number, since it uses less digits than its factorization.

1000111320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85574756.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000111320221 its reverse (1220231110001), we get a palindrome (2220342430222).

The spelling of 1000111320221 in words is "one trillion, one hundred eleven million, three hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 29 31 377 403 899 11687 85574683 1112470879 2481665807 2652815173 32261655491 34486597249 76931640017 1000111320221