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312424302321101 = 4115173775021893
BaseRepresentation
bin100011100001001011111001…
…1100011110001110111001101
31111222012110201210200212221002
41013002113303203301313031
5311422224432343233401
63024245424301350045
7122543624313641525
oct10702276343616715
91458173653625832
10312424302321101
1190603447859213
122b059b0a868325
1310543640260499
1457215ba02c685
15261bd16985a6b
hex11c25f38f1dcd

312424302321101 has 8 divisors (see below), whose sum is σ = 320044681905144. Its totient is φ = 304803935815680.

The previous prime is 312424302321041. The next prime is 312424302321139. The reversal of 312424302321101 is 101123203424213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1575702772900 + 310848599548201 = 1255270^2 + 17630899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312424302321101 - 26 = 312424302321037 is a prime.

It is a super-2 number, since 2×3124243023211012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312424302321151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59701511 + ... + 64723403.

It is an arithmetic number, because the mean of its divisors is an integer number (40005585238143).

Almost surely, 2312424302321101 is an apocalyptic number.

It is an amenable number.

312424302321101 is a deficient number, since it is larger than the sum of its proper divisors (7620379584043).

312424302321101 is a wasteful number, since it uses less digits than its factorization.

312424302321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539311.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 312424302321101 its reverse (101123203424213), we get a palindrome (413547505745314).

The spelling of 312424302321101 in words is "three hundred twelve trillion, four hundred twenty-four billion, three hundred two million, three hundred twenty-one thousand, one hundred one".

Divisors: 1 41 1517377 5021893 62212457 205897613 7620104934661 312424302321101