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105455144420431 = 1322794322330993
BaseRepresentation
bin10111111110100100110000…
…011011000100010001001111
3111211101102011022221211110121
4113332210300123010101033
5102310234113432423211
61012141231411445411
731132611533506441
oct2776446033042117
9454342138854417
10105455144420431
11306683038a7313
12b9b1ab65b6867
1346ac4ba341200
141c080b03c4491
15c2d1e4c12271
hex5fe9306c444f

105455144420431 has 12 divisors (see below), whose sum is σ = 114195165229488. Its totient is φ = 97339722240384.

The previous prime is 105455144420399. The next prime is 105455144420443. The reversal of 105455144420431 is 134024441554501.

It is not a de Polignac number, because 105455144420431 - 25 = 105455144420399 is a prime.

It is a super-2 number, since 2×1054551444204312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105455144426431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6443130 + ... + 15887863.

It is an arithmetic number, because the mean of its divisors is an integer number (9516263769124).

Almost surely, 2105455144420431 is an apocalyptic number.

105455144420431 is a deficient number, since it is larger than the sum of its proper divisors (8740020809057).

105455144420431 is a wasteful number, since it uses less digits than its factorization.

105455144420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22358962 (or 22358949 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 43.

Adding to 105455144420431 its reverse (134024441554501), we get a palindrome (239479585974932).

The spelling of 105455144420431 in words is "one hundred five trillion, four hundred fifty-five billion, one hundred forty-four million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 13 169 27943 363259 4722367 22330993 290302909 3773937817 623994937399 8111934186187 105455144420431