Search a number
-
+
103311131103 = 3417179419141
BaseRepresentation
bin110000000110111010…
…0101100000111011111
3100212122221010020020000
41200031310230013133
53143040122143403
6115243244025343
710315101060645
oct1401564540737
9325587106200
10103311131103
113a8a5492994
1218032832253
1399857bb40b
145000ad7195
152a49c8a7a3
hex180dd2c1df

103311131103 has 40 divisors (see below), whose sum is σ = 164320429680. Its totient is φ = 64460378880.

The previous prime is 103311131059. The next prime is 103311131111. The reversal of 103311131103 is 301131113301.

103311131103 is a `hidden beast` number, since 10 + 331 + 11 + 311 + 0 + 3 = 666.

It is not a de Polignac number, because 103311131103 - 225 = 103277576671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311131603) 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 39 ways as a sum of consecutive naturals, for example, 36913 + ... + 456053.

It is an arithmetic number, because the mean of its divisors is an integer number (4108010742).

Almost surely, 2103311131103 is an apocalyptic number.

103311131103 is a deficient number, since it is larger than the sum of its proper divisors (61009298577).

103311131103 is a wasteful number, since it uses less digits than its factorization.

103311131103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419349 (or 419340 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 103311131103 its reverse (301131113301), we get a palindrome (404442244404).

The spelling of 103311131103 in words is "one hundred three billion, three hundred eleven million, one hundred thirty-one thousand, one hundred three".

Divisors: 1 3 9 17 27 51 81 153 179 459 537 1377 1611 3043 4833 9129 14499 27387 82161 246483 419141 1257423 3772269 7125397 11316807 21376191 33950421 64128573 75026239 192385719 225078717 577157157 675236151 1275446063 2025708453 3826338189 6077125359 11479014567 34437043701 103311131103