Search a number
-
+
1111000012213 = 7313277899491
BaseRepresentation
bin10000001010101100110…
…000101101010110110101
310221012200111112021201111
4100022230300231112311
5121200312000342323
62210215241555021
7143160421201000
oct20125460552665
93835614467644
101111000012213
113991995a7a83
1215b39b7a5a71
13809c7a08340
143bab637c537
151dd76543c0d
hex102acc2d5b5

1111000012213 has 32 divisors (see below), whose sum is σ = 1400329145600. Its totient is φ = 875858598720.

The previous prime is 1111000012153. The next prime is 1111000012217. The reversal of 1111000012213 is 3122100001111.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1111000012213 is a prime.

It is a super-2 number, since 2×11110000122132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1111000012193 and 1111000012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111000012217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785398 + ... + 1684888.

It is an arithmetic number, because the mean of its divisors is an integer number (43760285800).

Almost surely, 21111000012213 is an apocalyptic number.

1111000012213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1111000012213 is a deficient number, since it is larger than the sum of its proper divisors (289329133387).

1111000012213 is an equidigital number, since it uses as much as digits as its factorization.

1111000012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899802 (or 899788 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1111000012213 its reverse (3122100001111), we get a palindrome (4233100013324).

The spelling of 1111000012213 in words is "one trillion, one hundred eleven billion, twelve thousand, two hundred thirteen".

Divisors: 1 7 13 49 91 277 343 637 1939 3601 4459 13573 25207 95011 176449 899491 1235143 6296437 11693383 44075059 81853681 249159007 308525413 572975767 1744113049 3239067091 4010830369 12208791343 22673469637 85461539401 158714287459 1111000012213