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103442331123 = 3319375449783
BaseRepresentation
bin110000001010110100…
…1001011010111110011
3100220000001222212211000
41200111221023113303
53143322214043443
6115304252053043
710321253210205
oct1402551132763
9326001885730
10103442331123
113a96255445a
121806a764183
1399a6a37171
1450142ca775
152a565548d3
hex1815a4b5f3

103442331123 has 32 divisors (see below), whose sum is σ = 165673433600. Its totient is φ = 63566257248.

The previous prime is 103442331071. The next prime is 103442331137. The reversal of 103442331123 is 321133244301.

It is a happy number.

103442331123 is a `hidden beast` number, since 1 + 0 + 344 + 2 + 3 + 311 + 2 + 3 = 666.

It is not a de Polignac number, because 103442331123 - 214 = 103442314739 is a prime.

It is a super-2 number, since 2×1034423311232 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103442331623) 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, 2705911 + ... + 2743872.

It is an arithmetic number, because the mean of its divisors is an integer number (5177294800).

Almost surely, 2103442331123 is an apocalyptic number.

103442331123 is a deficient number, since it is larger than the sum of its proper divisors (62231102477).

103442331123 is a wasteful number, since it uses less digits than its factorization.

103442331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449848 (or 5449842 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103442331123 its reverse (321133244301), we get a palindrome (424575575424).

The spelling of 103442331123 in words is "one hundred three billion, four hundred forty-two million, three hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 19 27 37 57 111 171 333 513 703 999 2109 6327 18981 5449783 16349349 49048047 103545877 147144141 201641971 310637631 604925913 931912893 1814777739 2795738679 3831197449 5444333217 11493592347 34480777041 103442331123