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34545103305201 = 334713926912039
BaseRepresentation
bin1111101101011001010001…
…00111000111100111110001
311112022110221122102110211000
413312230220213013213301
514011441332421231301
6201245445032512213
710163541602136426
oct766545047074761
9145273848373730
1034545103305201
1110009550254965
123a5b0a524b669
1316377877c6908
14875dc5b8dd4d
153ed8e640e786
hex1f6b289c79f1

34545103305201 has 96 divisors (see below), whose sum is σ = 52747592601600. Its totient is φ = 22334564769120.

The previous prime is 34545103305161. The next prime is 34545103305217. The reversal of 34545103305201 is 10250330154543.

34545103305201 is a `hidden beast` number, since 3 + 4 + 5 + 45 + 103 + 305 + 201 = 666.

It is not a de Polignac number, because 34545103305201 - 211 = 34545103303153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34545103306201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16942178140 + ... + 16942180178.

It is an arithmetic number, because the mean of its divisors is an integer number (549454089600).

Almost surely, 234545103305201 is an apocalyptic number.

It is an amenable number.

34545103305201 is a deficient number, since it is larger than the sum of its proper divisors (18202489296399).

34545103305201 is a wasteful number, since it uses less digits than its factorization.

34545103305201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 34545103305201 its reverse (10250330154543), we get a palindrome (44795433459744).

The spelling of 34545103305201 in words is "thirty-four trillion, five hundred forty-five billion, one hundred three million, three hundred five thousand, two hundred one".

Divisors: 1 3 9 27 47 139 141 417 423 691 1251 1269 2039 2073 3753 6117 6219 6533 18351 18657 19321 19599 32477 55053 57963 58797 95833 96049 97431 173889 176391 283421 287499 288147 292293 521667 850263 862497 864441 876879 908087 1408949 2550789 2587491 2593323 2724261 4226847 4514303 7652367 8172783 12680541 13320787 13350811 13542909 24518349 38041623 39395519 39962361 40052433 40628727 66220603 118186557 119887083 120157299 121886181 195843911 198661809 354559671 359661249 360471897 587531733 595985427 627488117 1063679013 1762595199 1787956281 1851589393 1882464351 5287785597 5554768179 5647393053 9204663817 16664304537 16942179159 27222303629 27613991451 49992913611 81666910887 82841974353 245000732661 248525923059 735002197983 1279448270563 3838344811689 11515034435067 34545103305201