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105418483477351 = 11281106363320647
BaseRepresentation
bin10111111110000010100111…
…010000101010101101100111
3111211020220112100220221221221
4113332002213100222231213
5102304134023232233401
61012112325512321211
731130143202600452
oct2776024720525547
9454226470827857
10105418483477351
113065380073a150
12b9a69849a3207
1346a8bc6c97495
141c063d347c499
15c2c29b4457a1
hex5fe0a742ab67

105418483477351 has 16 divisors (see below), whose sum is σ = 115412686702848. Its totient is φ = 95492739585600.

The previous prime is 105418483477343. The next prime is 105418483477457. The reversal of 105418483477351 is 153774384814501.

It is a cyclic number.

It is not a de Polignac number, because 105418483477351 - 23 = 105418483477343 is a prime.

It is a super-2 number, since 2×1054184834773512 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105418483477351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105418483777351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328607710 + ... + 328928356.

It is an arithmetic number, because the mean of its divisors is an integer number (7213292918928).

Almost surely, 2105418483477351 is an apocalyptic number.

105418483477351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105418483477351 is a deficient number, since it is larger than the sum of its proper divisors (9994203225497).

105418483477351 is a wasteful number, since it uses less digits than its factorization.

105418483477351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427302.

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 105418483477351 in words is "one hundred five trillion, four hundred eighteen billion, four hundred eighty-three million, four hundred seventy-seven thousand, three hundred fifty-one".

Divisors: 1 11 281 3091 106363 320647 1169993 3527117 29888003 90101807 328768033 991119877 34104976861 375154745471 9583498497941 105418483477351