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103330442033 = 7139728141659
BaseRepresentation
bin110000000111011111…
…0010110101100110001
3100212201021110022211122
41200032332112230301
53143110043121113
6115245213552025
710315424160020
oct1401676265461
9325637408748
10103330442033
113a905382535
12180391a5615
1399897bccc0
1450034c28b7
152a4b802408
hex180ef96b31

103330442033 has 32 divisors (see below), whose sum is σ = 128947365120. Its totient is φ = 80623226880.

The previous prime is 103330441997. The next prime is 103330442051. The reversal of 103330442033 is 330244033301.

It is a happy number.

It is not a de Polignac number, because 103330442033 - 226 = 103263333169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103330441993 and 103330442011.

It is not an unprimeable number, because it can be changed into a prime (103330442093) 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, 2459558 + ... + 2501216.

It is an arithmetic number, because the mean of its divisors is an integer number (4029605160).

Almost surely, 2103330442033 is an apocalyptic number.

103330442033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103330442033 is a deficient number, since it is larger than the sum of its proper divisors (25616923087).

103330442033 is a wasteful number, since it uses less digits than its factorization.

103330442033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42057.

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 103330442033 its reverse (330244033301), we get a palindrome (433574475334).

The spelling of 103330442033 in words is "one hundred three billion, three hundred thirty million, four hundred forty-two thousand, thirty-three".

Divisors: 1 7 13 91 97 281 679 1261 1967 3653 8827 25571 27257 41659 190799 291613 354341 541567 2480387 3790969 4040923 11706179 28286461 52531999 81943253 152180327 367723993 1065262289 1135499363 7948495541 14761491719 103330442033