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332031013101113 = 7354117094919449
BaseRepresentation
bin100101101111110101111111…
…0100101110001111000111001
31121112121212002012002222010212
41023133223332211301320321
5322004444003323213423
63134100535222520505
7126636310013530634
oct11337537645617071
91545555065088125
10332031013101113
119688261a957237
12312a5a02596135
131133650c316921
145bdc55b478c1b
15285bd4e15c578
hex12dfafe971e39

332031013101113 has 16 divisors (see below), whose sum is σ = 337398904026000. Its totient is φ = 326685980113920.

The previous prime is 332031013101059. The next prime is 332031013101119. The reversal of 332031013101113 is 311101310130233.

It can be written as a sum of positive squares in 8 ways, for example, as 3275115433984 + 328755897667129 = 1809728^2 + 18131627^2 .

It is a cyclic number.

It is not a de Polignac number, because 332031013101113 - 210 = 332031013100089 is a prime.

It is a super-2 number, since 2×3320310131011132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332031013101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65033813 + ... + 69953261.

It is an arithmetic number, because the mean of its divisors is an integer number (21087431501625).

Almost surely, 2332031013101113 is an apocalyptic number.

It is an amenable number.

332031013101113 is a deficient number, since it is larger than the sum of its proper divisors (5367890924887).

332031013101113 is a wasteful number, since it uses less digits than its factorization.

332031013101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921772.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 332031013101113 its reverse (311101310130233), we get a palindrome (643132323231346).

The spelling of 332031013101113 in words is "three hundred thirty-two trillion, thirty-one billion, thirteen million, one hundred one thousand, one hundred thirteen".

Divisors: 1 73 541 1709 39493 124757 924569 4919449 67493537 359119777 2661421909 8407338341 194283799357 613735698893 4548370042481 332031013101113