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105456454341 = 3744361918313
BaseRepresentation
bin110001000110110110…
…0011100101011000101
3101002012102220221110020
41202031230130223011
53211433323014331
6120240201445353
710422211033440
oct1421554345305
9332172827406
10105456454341
11407a6467aa7
12185311a0859
139c380b7a54
1451659c0657
152b232a6c96
hex188db1cac5

105456454341 has 32 divisors (see below), whose sum is σ = 161327293440. Its totient is φ = 60024392064.

The previous prime is 105456454321. The next prime is 105456454343. The reversal of 105456454341 is 143454654501.

It is not a de Polignac number, because 105456454341 - 29 = 105456453829 is a prime.

It is a super-2 number, since 2×1054564543412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105456454293 and 105456454302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105456454343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5749401 + ... + 5767713.

It is an arithmetic number, because the mean of its divisors is an integer number (5041477920).

Almost surely, 2105456454341 is an apocalyptic number.

It is an amenable number.

105456454341 is a deficient number, since it is larger than the sum of its proper divisors (55870839099).

105456454341 is a wasteful number, since it uses less digits than its factorization.

105456454341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19385.

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 105456454341 in words is "one hundred five billion, four hundred fifty-six million, four hundred fifty-four thousand, three hundred forty-one".

Divisors: 1 3 7 21 443 619 1329 1857 3101 4333 9303 12999 18313 54939 128191 274217 384573 822651 1919519 5758557 8112659 11335747 24337977 34007241 56788613 79350229 170365839 238050687 5021735921 15065207763 35152151447 105456454341