Search a number
-
+
103003211331 = 3319647331019
BaseRepresentation
bin101111111101101111…
…0000100011001000011
3100211212110201021201000
41133323132010121003
53141422310230311
6115152524143043
710304341564446
oct1377336043103
9324773637630
10103003211331
113a75769a239
1217b67697a83
139936a79877
144db1c6165d
152a2cc15056
hex17fb784643

103003211331 has 32 divisors (see below), whose sum is σ = 160658784000. Its totient is φ = 65042512704.

The previous prime is 103003211309. The next prime is 103003211359. The reversal of 103003211331 is 133112300301.

It is a happy number.

103003211331 is a `hidden beast` number, since 1 + 0 + 300 + 32 + 1 + 1 + 331 = 666.

It is not a de Polignac number, because 103003211331 - 27 = 103003211203 is a prime.

It is a super-2 number, since 2×1030032113312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103003212331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3305140 + ... + 3336158.

It is an arithmetic number, because the mean of its divisors is an integer number (5020587000).

Almost surely, 2103003211331 is an apocalyptic number.

103003211331 is a deficient number, since it is larger than the sum of its proper divisors (57655572669).

103003211331 is a wasteful number, since it uses less digits than its factorization.

103003211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37520 (or 37514 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103003211331 its reverse (133112300301), we get a palindrome (236115511632).

The spelling of 103003211331 in words is "one hundred three billion, three million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 6473 19419 31019 58257 93057 122987 174771 279171 368961 589361 837513 1106883 1768083 3320649 5304249 15912747 200785987 602357961 1807073883 3814933753 5421221649 11444801259 34334403777 103003211331