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105410321433 = 36839172343
BaseRepresentation
bin110001000101011110…
…0011101110000011001
3101002002020010011000000
41202022330131300121
53211340020241213
6120231433003213
710421110643244
oct1421274356031
9332066104000
10105410321433
114078241872a
1218519853509
139c2b684881
14515d81225b
152b1e1e2c73
hex188af1dc19

105410321433 has 28 divisors (see below), whose sum is σ = 158232473280. Its totient is φ = 70189381656.

The previous prime is 105410321381. The next prime is 105410321461. The reversal of 105410321433 is 334123014501.

It is a happy number.

105410321433 is a `hidden beast` number, since 1 + 0 + 5 + 410 + 3 + 214 + 33 = 666.

It is a de Polignac number, because none of the positive numbers 2k-105410321433 is a prime.

It is a super-2 number, since 2×1054103214332 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105410321397 and 105410321406.

It is not an unprimeable number, because it can be changed into a prime (105010321433) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 525460 + ... + 697802.

It is an arithmetic number, because the mean of its divisors is an integer number (5651159760).

Almost surely, 2105410321433 is an apocalyptic number.

It is an amenable number.

105410321433 is a deficient number, since it is larger than the sum of its proper divisors (52822151847).

105410321433 is an frugal number, since it uses more digits than its factorization.

105410321433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173200 (or 173185 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105410321433 its reverse (334123014501), we get a palindrome (439533335934).

The spelling of 105410321433 in words is "one hundred five billion, four hundred ten million, three hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 839 2517 7551 22653 67959 172343 203877 517029 611631 1551087 4653261 13959783 41879349 125638047 144595777 433787331 1301361993 3904085979 11712257937 35136773811 105410321433