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103113300033 = 3231736142061
BaseRepresentation
bin110000000001000001…
…0000001100001000001
3100212011010212101000100
41200002002001201001
53142134001100113
6115211455513013
710310146405662
oct1400202014101
9325133771010
10103113300033
113a803851537
1217b98528769
139953813403
144dc271b369
152a3770dd73
hex1802081841

103113300033 has 12 divisors (see below), whose sum is σ = 149411284308. Its totient is φ = 68525345760.

The previous prime is 103113300001. The next prime is 103113300041. The reversal of 103113300033 is 330003311301.

It can be written as a sum of positive squares in 2 ways, for example, as 8416778049 + 94696521984 = 91743^2 + 307728^2 .

It is not a de Polignac number, because 103113300033 - 25 = 103113300001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103113299979 and 103113300015.

It is not an unprimeable number, because it can be changed into a prime (103113300053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18068178 + ... + 18073883.

It is an arithmetic number, because the mean of its divisors is an integer number (12450940359).

Almost surely, 2103113300033 is an apocalyptic number.

It is an amenable number.

103113300033 is a deficient number, since it is larger than the sum of its proper divisors (46297984275).

103113300033 is a wasteful number, since it uses less digits than its factorization.

103113300033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36142384 (or 36142381 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103113300033 its reverse (330003311301), we get a palindrome (433116611334).

The spelling of 103113300033 in words is "one hundred three billion, one hundred thirteen million, three hundred thousand, thirty-three".

Divisors: 1 3 9 317 951 2853 36142061 108426183 325278549 11457033337 34371100011 103113300033