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1042343223301 = 172917373316673
BaseRepresentation
bin11110010101100000111…
…11110110000000000101
310200122110200200001001201
433022300133312000011
5114034204331121201
62114502412422501
7135210144132442
oct17126037660005
93618420601051
101042343223301
11372067637316
1214a01a777a31
13773a5947c63
1438641cd49c9
151c1a8d0b801
hexf2b07f6005

1042343223301 has 32 divisors (see below), whose sum is σ = 1149949755360. Its totient is φ = 940384026624.

The previous prime is 1042343223241. The next prime is 1042343223307. The reversal of 1042343223301 is 1033223432401.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 319452170401 + 722891052900 = 565201^2 + 850230^2 .

It is a cyclic number.

It is not a de Polignac number, because 1042343223301 - 215 = 1042343190533 is a prime.

It is a super-3 number, since 3×10423432233013 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1042343223301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042343223307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62508501 + ... + 62525173.

It is an arithmetic number, because the mean of its divisors is an integer number (35935929855).

Almost surely, 21042343223301 is an apocalyptic number.

It is an amenable number.

1042343223301 is a deficient number, since it is larger than the sum of its proper divisors (107606532059).

1042343223301 is a wasteful number, since it uses less digits than its factorization.

1042343223301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1042343223301 its reverse (1033223432401), we get a palindrome (2075566655702).

The spelling of 1042343223301 in words is "one trillion, forty-two billion, three hundred forty-three million, two hundred twenty-three thousand, three hundred one".

Divisors: 1 17 29 173 493 733 2941 5017 12461 16673 21257 85289 126809 283441 361369 483517 2155753 2884429 3677461 8219789 12221309 49035293 62516837 83648441 207762253 354417961 1422023497 2114286457 6025105337 35942869769 61314307253 1042343223301