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103404655341 = 32137971108909
BaseRepresentation
bin110000001001101100…
…1011101001011101101
3100212220110002202100200
41200103121131023231
53143233042432331
6115300424344113
710320315032241
oct1402331351355
9325813082320
10103404655341
113a943261049
121805a015039
13999bca54c0
14500d2c0421
152a530b15e6
hex181365d2ed

103404655341 has 24 divisors (see below), whose sum is σ = 161053652760. Its totient is φ = 63553735296.

The previous prime is 103404655307. The next prime is 103404655357. The reversal of 103404655341 is 143556404301.

103404655341 is a `hidden beast` number, since 103 + 4 + 0 + 465 + 53 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30399317316 + 73005338025 = 174354^2 + 270195^2 .

It is a de Polignac number, because none of the positive numbers 2k-103404655341 is a prime.

It is a super-3 number, since 3×1034046553413 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103404655296 and 103404655305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103404655391) 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 23 ways as a sum of consecutive naturals, for example, 461206 + ... + 647703.

It is an arithmetic number, because the mean of its divisors is an integer number (6710568865).

Almost surely, 2103404655341 is an apocalyptic number.

It is an amenable number.

103404655341 is a deficient number, since it is larger than the sum of its proper divisors (57648997419).

103404655341 is a wasteful number, since it uses less digits than its factorization.

103404655341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109725 (or 1109722 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 103404655341 in words is "one hundred three billion, four hundred four million, six hundred fifty-five thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 797 2391 7173 10361 31083 93249 1108909 3326727 9980181 14415817 43247451 129742353 883800473 2651401419 7954204257 11489406149 34468218447 103404655341