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105543242253 = 32194779716477
BaseRepresentation
bin110001001001011011…
…1100001001000001101
3101002102111020020002100
41202102313201020031
53212123032223003
6120252541545313
710424313520431
oct1422267411015
9332374206070
10105543242253
1140840455049
1218556275239
139c50083947
1451733329c1
152b2abebba3
hex1892de120d

105543242253 has 48 divisors (see below), whose sum is σ = 164105061120. Its totient is φ = 65154803328.

The previous prime is 105543242251. The next prime is 105543242281. The reversal of 105543242253 is 352242345501.

105543242253 is a `hidden beast` number, since 1 + 0 + 554 + 32 + 4 + 22 + 53 = 666.

It is not a de Polignac number, because 105543242253 - 21 = 105543242251 is a prime.

It is a super-2 number, since 2×1055432422532 (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 (105543242251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397251 + ... + 6413727.

It is an arithmetic number, because the mean of its divisors is an integer number (3418855440).

Almost surely, 2105543242253 is an apocalyptic number.

It is an amenable number.

105543242253 is a deficient number, since it is larger than the sum of its proper divisors (58561818867).

105543242253 is a wasteful number, since it uses less digits than its factorization.

105543242253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17346 (or 17343 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 105543242253 its reverse (352242345501), we get a palindrome (457785587754).

The spelling of 105543242253 in words is "one hundred five billion, five hundred forty-three million, two hundred forty-two thousand, two hundred fifty-three".

Divisors: 1 3 9 19 47 57 141 171 423 797 893 2391 2679 7173 8037 15143 16477 37459 45429 49431 112377 136287 148293 313063 337131 711721 774419 939189 2135163 2323257 2817567 6405489 6969771 13132169 14713961 39396507 44141883 118189521 132425649 249511211 617211943 748533633 1851635829 2245600899 5554907487 11727026917 35181080751 105543242253