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332301223130201 = 1310110918731239661
BaseRepresentation
bin100101110001110011110100…
…0010111001111010001011001
31121120120200112120221200020222
41023203213220113033101121
5322023410401110131301
63134425024025325425
7126664654042062203
oct11343475027172131
91546520476850228
10332301223130201
1196977180422466
123132a253336875
1311355b424395c0
145c0b672005773
152863db637d31b
hex12e39e85cf459

332301223130201 has 32 divisors (see below), whose sum is σ = 364916724443040. Its totient is φ = 300755400192000.

The previous prime is 332301223130183. The next prime is 332301223130203. The reversal of 332301223130201 is 102031322103233.

It can be written as a sum of positive squares in 16 ways, for example, as 156561154753600 + 175740068376601 = 12512440^2 + 13256699^2 .

It is a de Polignac number, because none of the positive numbers 2k-332301223130201 is a prime.

It is a super-3 number, since 3×3323012231302013 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332301223130203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267438311 + ... + 268677971.

It is an arithmetic number, because the mean of its divisors is an integer number (11403647638845).

Almost surely, 2332301223130201 is an apocalyptic number.

It is an amenable number.

332301223130201 is a deficient number, since it is larger than the sum of its proper divisors (32615501312839).

332301223130201 is a wasteful number, since it uses less digits than its factorization.

332301223130201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241757.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 332301223130201 its reverse (102031322103233), we get a palindrome (434332545233434).

The spelling of 332301223130201 in words is "three hundred thirty-two trillion, three hundred one billion, two hundred twenty-three million, one hundred thirty thousand, two hundred one".

Divisors: 1 13 101 109 1313 1417 1873 11009 24349 143117 189173 204157 1239661 2459249 2654041 16115593 20619857 125205761 135123049 268058141 1627674893 1756599637 2321885053 13647427949 30184505689 177416563337 234510390353 253085470777 3048635074589 3290111120101 25561632548477 332301223130201