Search a number
-
+
1122203211103 = 1332322208213
BaseRepresentation
bin10000010101001000100…
…001100001010101011111
310222021121021022202102201
4100111020201201111133
5121341233010223403
62215311045232331
7144035145623302
oct20251041412537
93867537282381
101122203211103
113a2a18503137
121615a77026a7
1381a91a6a000
143c45a224b39
151e2ced7021d
hex1054886155f

1122203211103 has 16 divisors (see below), whose sum is σ = 1268533183680. Its totient is φ = 990841586592.

The previous prime is 1122203211091. The next prime is 1122203211113. The reversal of 1122203211103 is 3011123022211.

It is a de Polignac number, because none of the positive numbers 2k-1122203211103 is a prime.

It is a super-3 number, since 3×11222032111033 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122203211113) 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 15 ways as a sum of consecutive naturals, for example, 11053576 + ... + 11154637.

It is an arithmetic number, because the mean of its divisors is an integer number (79283323980).

Almost surely, 21122203211103 is an apocalyptic number.

1122203211103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1122203211103 is a deficient number, since it is larger than the sum of its proper divisors (146329972577).

1122203211103 is an equidigital number, since it uses as much as digits as its factorization.

1122203211103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22208275 (or 22208249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1122203211103 its reverse (3011123022211), we get a palindrome (4133326233314).

The spelling of 1122203211103 in words is "one trillion, one hundred twenty-two billion, two hundred three million, two hundred eleven thousand, one hundred three".

Divisors: 1 13 23 169 299 2197 3887 50531 22208213 288706769 510788899 3753187997 6640255687 48791443961 86323323931 1122203211103