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105252424045242 = 231033891847237043
BaseRepresentation
bin10111111011100111111101…
…010110001101001010111010
3111210200000220101210202202120
4113323213331112031022322
5102243423431023421432
61011504143542342110
731112144120655435
oct2773477526151272
9453600811722676
10105252424045242
113059a3364a2a61
12b97a75ba2a936
134696351553496
141bdc35ccc881c
15c27ccca30c2c
hex5fb9fd58d2ba

105252424045242 has 64 divisors (see below), whose sum is σ = 213211254896640. Its totient is φ = 34635295116864.

The previous prime is 105252424045201. The next prime is 105252424045259. The reversal of 105252424045242 is 242540424252501.

It is a super-2 number, since 2×1052524240452422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105252424045194 and 105252424045203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443903973 + ... + 444141015.

It is an arithmetic number, because the mean of its divisors is an integer number (3331425857760).

Almost surely, 2105252424045242 is an apocalyptic number.

105252424045242 is an abundant number, since it is smaller than the sum of its proper divisors (107958830851398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105252424045242 is a wasteful number, since it uses less digits than its factorization.

105252424045242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239387.

The product of its (nonzero) digits is 1024000, while the sum is 42.

Adding to 105252424045242 its reverse (242540424252501), we get a palindrome (347792848297743).

The spelling of 105252424045242 in words is "one hundred five trillion, two hundred fifty-two billion, four hundred twenty-four million, forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 103 206 309 389 618 778 1167 1847 2334 3694 5541 11082 40067 80134 120201 190241 237043 240402 380482 474086 570723 711129 718483 1141446 1422258 1436966 2155449 4310898 24415429 48830858 73246287 74003749 92209727 146492574 148007498 184419454 222011247 276629181 437818421 444022494 553258362 875636842 1313455263 2626910526 9497601881 18995203762 28492805643 45095297363 56985611286 90190594726 135285892089 170311365769 270571784178 340622731538 510934097307 1021868194614 17542070674207 35084141348414 52626212022621 105252424045242