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313222440132 = 223371523272039
BaseRepresentation
bin1001000111011011000…
…00110010010011000100
31002221111000021120201000
410203231200302103010
520112434421041012
6355520431533300
731425641545440
oct4435540622304
91087430246630
10313222440132
111109229a1278
125085568a230
13236c9313894
1411235251820
1582333edddc
hex48ed8324c4

313222440132 has 96 divisors (see below), whose sum is σ = 928679270400. Its totient is φ = 89433036576.

The previous prime is 313222440121. The next prime is 313222440143. The reversal of 313222440132 is 231044222313.

313222440132 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 224 + 401 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (313222440121) and next prime (313222440143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313222440096 and 313222440105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015369 + ... + 1287407.

It is an arithmetic number, because the mean of its divisors is an integer number (9673742400).

Almost surely, 2313222440132 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 313222440132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464339635200).

313222440132 is an abundant number, since it is smaller than the sum of its proper divisors (615456830268).

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

313222440132 is a wasteful number, since it uses less digits than its factorization.

313222440132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273582 (or 273574 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313222440132 its reverse (231044222313), we get a palindrome (544266662445).

The spelling of 313222440132 in words is "three hundred thirteen billion, two hundred twenty-two million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1523 3046 4569 6092 9138 10661 13707 18276 21322 27414 31983 41121 42644 54828 63966 82242 95949 127932 164484 191898 272039 287847 383796 544078 575694 816117 1088156 1151388 1632234 1904273 2448351 3264468 3808546 4896702 5712819 7345053 7617092 9793404 11425638 14690106 17138457 22851276 29380212 34276914 51415371 68553828 102830742 205661484 414315397 828630794 1242946191 1657261588 2485892382 2900207779 3728838573 4971784764 5800415558 7457677146 8700623337 11186515719 11600831116 14915354292 17401246674 22373031438 26101870011 34802493348 44746062876 52203740022 78305610033 104407480044 156611220066 313222440132