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312311336364 = 223319598125447
BaseRepresentation
bin1001000101101110011…
…01001100110110101100
31002212010111212201022000
410202313031030312230
520104103200230424
6355250203452300
731364236362306
oct4426715146654
91085114781260
10312311336364
111104a5675555
1250640527090
13235b2630121
141118a244976
1581cd42c3c9
hex48b734cdac

312311336364 has 96 divisors (see below), whose sum is σ = 852487641600. Its totient is φ = 98604267840.

The previous prime is 312311336357. The next prime is 312311336369. The reversal of 312311336364 is 463633113213.

312311336364 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 13 + 3 + 636 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312311336369) 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, 12260289 + ... + 12285735.

It is an arithmetic number, because the mean of its divisors is an integer number (8880079600).

Almost surely, 2312311336364 is an apocalyptic number.

It is an amenable number.

312311336364 is an abundant number, since it is smaller than the sum of its proper divisors (540176305236).

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

312311336364 is a wasteful number, since it uses less digits than its factorization.

312311336364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31460 (or 31452 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

Adding to 312311336364 its reverse (463633113213), we get a palindrome (775944449577).

The spelling of 312311336364 in words is "three hundred twelve billion, three hundred eleven million, three hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 5981 11962 17943 23924 25447 35886 50894 53829 71772 76341 101788 107658 113639 152682 161487 215316 227278 229023 305364 322974 340917 454556 458046 483493 645948 681834 687069 916092 966986 1022751 1363668 1374138 1450479 1933972 2045502 2748276 2900958 3068253 4091004 4351437 5801916 6136506 8702874 12273012 13054311 17405748 26108622 52217244 152198507 304397014 456595521 608794028 913191042 1369786563 1826382084 2739573126 2891771633 4109359689 5479146252 5783543266 8218719378 8675314899 11567086532 16437438756 17350629798 26025944697 34701259596 52051889394 78077834091 104103778788 156155668182 312311336364