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103434344037 = 3371385114011
BaseRepresentation
bin110000001010100101…
…0101101011001100101
3100212222111222002121000
41200111022231121211
53143313143002122
6115303404543513
710321125263223
oct1402512553145
9325874862530
10103434344037
113a958a99662
1218067b51b99
1399a519b88b
14501320bb13
152a559c80ac
hex18152ad665

103434344037 has 32 divisors (see below), whose sum is σ = 155445765120. Its totient is φ = 67962510000.

The previous prime is 103434344011. The next prime is 103434344059. The reversal of 103434344037 is 730443434301.

103434344037 is a `hidden beast` number, since 103 + 43 + 43 + 440 + 37 = 666.

It is not a de Polignac number, because 103434344037 - 28 = 103434343781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103434343992 and 103434344010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103434344087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7375362 + ... + 7389372.

It is an arithmetic number, because the mean of its divisors is an integer number (4857680160).

Almost surely, 2103434344037 is an apocalyptic number.

It is an amenable number.

103434344037 is a deficient number, since it is larger than the sum of its proper divisors (52011421083).

103434344037 is a wasteful number, since it uses less digits than its factorization.

103434344037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17942 (or 17936 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 103434344037 its reverse (730443434301), we get a palindrome (833877778338).

The spelling of 103434344037 in words is "one hundred three billion, four hundred thirty-four million, three hundred forty-four thousand, thirty-seven".

Divisors: 1 3 9 27 71 213 639 1917 3851 11553 14011 34659 42033 103977 126099 273421 378297 820263 994781 2460789 2984343 7382367 8953029 26859087 53956361 161869083 485607249 1456821747 3830901631 11492704893 34478114679 103434344037