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13352300325331 = 114383709479701
BaseRepresentation
bin1100001001001101001100…
…0111100010100111010011
31202021110121202201100202221
43002103103013202213103
53222231002340402311
644221543451121511
72545446310064452
oct302232307424723
952243552640687
1013352300325331
114288751492560
1215b7922443297
1375b168cb3c96
1434237d1acb99
151824cd623671
hexc24d31e29d3

13352300325331 has 32 divisors (see below), whose sum is σ = 15105777603840. Its totient is φ = 11696774544000.

The previous prime is 13352300325277. The next prime is 13352300325337.

13352300325331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13352300325331 is a prime.

It is a super-2 number, since 2×133523003253312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13352300325337) 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, 27594781 + ... + 28074481.

It is an arithmetic number, because the mean of its divisors is an integer number (472055550120).

Almost surely, 213352300325331 is an apocalyptic number.

13352300325331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13352300325331 is a deficient number, since it is larger than the sum of its proper divisors (1753477278509).

13352300325331 is a wasteful number, since it uses less digits than its factorization.

13352300325331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480547.

The product of its (nonzero) digits is 72900, while the sum is 34.

It can be divided in two parts, 13352300 and 325331, that added together give a palindrome (13677631).

The spelling of 13352300325331 in words is "thirteen trillion, three hundred fifty-two billion, three hundred million, three hundred twenty-five thousand, three hundred thirty-one".

Divisors: 1 11 43 83 473 709 913 3569 7799 30487 39259 58847 335357 479701 647317 2530421 5276711 20627143 27834631 39815183 226898573 340108009 437967013 1712052869 3741188099 14624644387 18832581559 28228964747 160871088257 310518612217 1213845484121 13352300325331