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1000223211013 = 13257299378393
BaseRepresentation
bin11101000111000011111…
…00101111111000000101
310112121202021102201102121
432203201330233320011
5112341424120223023
62043255102405541
7132156315005005
oct16434174577005
93477667381377
101000223211013
11356212a21704
12141a248908b1
13734225bb970
14365a7d4c005
151b041157d5d
hexe8e1f2fe05

1000223211013 has 8 divisors (see below), whose sum is σ = 1081354759128. Its totient is φ = 919690420224.

The previous prime is 1000223210971. The next prime is 1000223211019. The reversal of 1000223211013 is 3101123220001.

It can be written as a sum of positive squares in 4 ways, for example, as 257106801249 + 743116409764 = 507057^2 + 862042^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000223211013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000223211019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149685856 + ... + 149692537.

It is an arithmetic number, because the mean of its divisors is an integer number (135169344891).

Almost surely, 21000223211013 is an apocalyptic number.

1000223211013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000223211013 is a deficient number, since it is larger than the sum of its proper divisors (81131548115).

1000223211013 is a wasteful number, since it uses less digits than its factorization.

1000223211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299378663.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000223211013 its reverse (3101123220001), we get a palindrome (4101346431014).

The spelling of 1000223211013 in words is "one trillion, two hundred twenty-three million, two hundred eleven thousand, thirteen".

Divisors: 1 13 257 3341 299378393 3891919109 76940247001 1000223211013