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1034451601101 = 34187323092953
BaseRepresentation
bin11110000110110100001…
…11101100011011001101
310122220002201012002120000
433003122013230123031
5113422024102213401
62111115343514513
7134510450346522
oct17033207543315
93586081162500
101034451601101
11369787a627a6
121485978b8a39
13767189bca19
14380d3b9d149
151bd960bd186
hexf0da1ec6cd

1034451601101 has 40 divisors (see below), whose sum is σ = 1547310339960. Its totient is φ = 688734379008.

The previous prime is 1034451600967. The next prime is 1034451601153. The reversal of 1034451601101 is 1011061544301.

1034451601101 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 51 + 601 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 183611393001 + 850840208100 = 428499^2 + 922410^2 .

It is not a de Polignac number, because 1034451601101 - 218 = 1034451338957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034451601181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 350303841 + ... + 350306793.

It is an arithmetic number, because the mean of its divisors is an integer number (38682758499).

Almost surely, 21034451601101 is an apocalyptic number.

It is an amenable number.

1034451601101 is a deficient number, since it is larger than the sum of its proper divisors (512858738859).

1034451601101 is a wasteful number, since it uses less digits than its factorization.

1034451601101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1034451601101 in words is "one trillion, thirty-four billion, four hundred fifty-one million, six hundred one thousand, one hundred one".

Divisors: 1 3 9 27 81 1873 2309 2953 5619 6927 8859 16857 20781 26577 50571 62343 79731 151713 187029 239193 4324757 5530969 6818477 12974271 16592907 20455431 38922813 49778721 61366293 116768439 149336163 184098879 350305317 448008489 552296637 12771007421 38313022263 114939066789 344817200367 1034451601101