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312313120220 = 225131139857579
BaseRepresentation
bin1001000101101110101…
…00000000010111011100
31002212010122020100021202
410202313110000113130
520104104124321340
6355250310015032
731364260502123
oct4426724002734
91085118210252
10312313120220
111104a6683812
1250641047478
13235b2b0606a
141118a58aaba
1581cd680c15
hex48b75005dc

312313120220 has 48 divisors (see below), whose sum is σ = 665619292800. Its totient is φ = 123079594560.

The previous prime is 312313120181. The next prime is 312313120283. The reversal of 312313120220 is 22021313213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312313120192 and 312313120201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64610 + ... + 792969.

It is an arithmetic number, because the mean of its divisors is an integer number (13867068600).

Almost surely, 2312313120220 is an apocalyptic number.

It is an amenable number.

312313120220 is an abundant number, since it is smaller than the sum of its proper divisors (353306172580).

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

312313120220 is a wasteful number, since it uses less digits than its factorization.

312313120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857858 (or 857856 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312313120220 its reverse (22021313213), we get a palindrome (334334433433).

The spelling of 312313120220 in words is "three hundred twelve billion, three hundred thirteen million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 131 139 262 278 524 556 655 695 1310 1390 2620 2780 18209 36418 72836 91045 182090 364180 857579 1715158 3430316 4287895 8575790 17151580 112342849 119203481 224685698 238406962 449371396 476813924 561714245 596017405 1123428490 1192034810 2246856980 2384069620 15615656011 31231312022 62462624044 78078280055 156156560110 312313120220