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313232232012 = 223719281698437
BaseRepresentation
bin1001000111011100001…
…10001000111001001100
31002221111200201001122020
410203232012020321030
520112444422411022
6355521421450140
731426121020260
oct4435606107114
91087450631566
10313232232012
1111092847a037
1250858a10950
13236cb3617ab
14112366800a0
1582341d535c
hex48ee188e4c

313232232012 has 96 divisors (see below), whose sum is σ = 882378631680. Its totient is φ = 84482818560.

The previous prime is 313232231971. The next prime is 313232232013. The reversal of 313232232012 is 210232232313.

It is a super-2 number, since 2×3132322320122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313232232013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99258 + ... + 797694.

It is an arithmetic number, because the mean of its divisors is an integer number (9191444080).

Almost surely, 2313232232012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313232232012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441189315840).

313232232012 is an abundant number, since it is smaller than the sum of its proper divisors (569146399668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313232232012 is a wasteful number, since it uses less digits than its factorization.

313232232012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698751 (or 698749 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 313232232012 its reverse (210232232313), we get a palindrome (523464464325).

The spelling of 313232232012 in words is "three hundred thirteen billion, two hundred thirty-two million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 281 399 532 562 798 843 1124 1596 1686 1967 3372 3934 5339 5901 7868 10678 11802 16017 21356 23604 32034 37373 64068 74746 112119 149492 224238 448476 698437 1396874 2095311 2793748 4190622 4889059 8381244 9778118 13270303 14667177 19556236 26540606 29334354 39810909 53081212 58668708 79621818 92892121 159243636 185784242 196260797 278676363 371568484 392521594 557352726 588782391 785043188 1114705452 1177564782 1373825579 2355129564 2747651158 3728955143 4121476737 5495302316 7457910286 8242953474 11186865429 14915820572 16485906948 22373730858 26102686001 44747461716 52205372002 78308058003 104410744004 156616116006 313232232012