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105783057831 = 3113786636411
BaseRepresentation
bin110001010000100101…
…0010101110110100111
3101010001012111010012210
41202201022111312213
53213120430322311
6120332430014503
710433255104263
oct1424112256647
9333035433183
10105783057831
1140953862040
1218602647433
139c8a96b859
14519711b0a3
152b41cbd3a6
hex18a1295da7

105783057831 has 16 divisors (see below), whose sum is σ = 158024815488. Its totient is φ = 62378215200.

The previous prime is 105783057817. The next prime is 105783057839. The reversal of 105783057831 is 138750387501.

It is not a de Polignac number, because 105783057831 - 27 = 105783057703 is a prime.

It is a super-2 number, since 2×1057830578312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105783057839) 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, 43316985 + ... + 43319426.

It is an arithmetic number, because the mean of its divisors is an integer number (9876550968).

Almost surely, 2105783057831 is an apocalyptic number.

105783057831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105783057831 is a deficient number, since it is larger than the sum of its proper divisors (52241757657).

105783057831 is a wasteful number, since it uses less digits than its factorization.

105783057831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86636462.

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 105783057831 in words is "one hundred five billion, seven hundred eighty-three million, fifty-seven thousand, eight hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 86636411 259909233 953000521 2859001563 3205547207 9616641621 35261019277 105783057831