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3321010001313 = 341759106938239
BaseRepresentation
bin110000010100111011100…
…111110001010110100001
3102202111002220012221210000
4300110323213301112201
5413402412030020223
611021352333530213
7461635503150534
oct60247347612641
912674086187700
103321010001313
111070483626a24
12457773643969
131b1229365944
14b6a48512a1b
155b5c1678543
hex3053b9f15a1

3321010001313 has 80 divisors (see below), whose sum is σ = 5347007424000. Its totient is φ = 2046483076608.

The previous prime is 3321010001299. The next prime is 3321010001333. The reversal of 3321010001313 is 3131000101233.

It is a happy number.

3321010001313 is a `hidden beast` number, since 332 + 10 + 10 + 0 + 0 + 1 + 313 = 666.

3321010001313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3321010001313 - 218 = 3321009739169 is a prime.

It is a super-2 number, since 2×33210100013132 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321010001333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86829648 + ... + 86867886.

It is an arithmetic number, because the mean of its divisors is an integer number (66837592800).

Almost surely, 23321010001313 is an apocalyptic number.

It is an amenable number.

3321010001313 is a deficient number, since it is larger than the sum of its proper divisors (2025997422687).

3321010001313 is a wasteful number, since it uses less digits than its factorization.

3321010001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39396 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3321010001313 its reverse (3131000101233), we get a palindrome (6452010102546).

The spelling of 3321010001313 in words is "three trillion, three hundred twenty-one billion, ten million, one thousand, three hundred thirteen".

Divisors: 1 3 9 17 27 51 59 81 153 177 459 531 1003 1069 1377 1593 3009 3207 4779 9027 9621 18173 27081 28863 38239 54519 63071 81243 86589 114717 163557 189213 344151 490671 567639 650063 1032453 1072207 1472013 1702917 1950189 2256101 3097359 3216621 5108751 5850567 6768303 9649863 17551701 20304909 28949589 38353717 40877491 52655103 60914727 86848767 115061151 122632473 182744181 345183453 367897419 694917347 1035550359 1103692257 2084752041 2411771969 3106651077 3311076771 6254256123 7235315907 18762768369 21705947721 41000123473 56288305107 65117843163 123000370419 195353529489 369001111257 1107003333771 3321010001313