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312223000012 = 227112234006763
BaseRepresentation
bin1001000101100011111…
…00001110010111001100
31002211220100122202121021
410202301330032113030
520103413042000022
6355233330243524
731362114466030
oct4426174162714
91084810582537
10312223000012
1111045a820100
1250616a265a4
132359a2414b1
141117c60c1c0
1581c57cd7c7
hex48b1f0e5cc

312223000012 has 72 divisors (see below), whose sum is σ = 716217078528. Its totient is φ = 116356368480.

The previous prime is 312223000007. The next prime is 312223000021. The reversal of 312223000012 is 210000322213.

It is a self number, because there is not a number n which added to its sum of digits gives 312223000012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925458 + ... + 2081305.

It is an arithmetic number, because the mean of its divisors is an integer number (9947459424).

Almost surely, 2312223000012 is an apocalyptic number.

It is an amenable number.

312223000012 is an abundant number, since it is smaller than the sum of its proper divisors (403994078516).

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

312223000012 is a wasteful number, since it uses less digits than its factorization.

312223000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006819 (or 4006806 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312223000012 its reverse (210000322213), we get a palindrome (522223322225).

The spelling of 312223000012 in words is "three hundred twelve billion, two hundred twenty-three million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 484 506 644 847 1012 1694 1771 2783 3388 3542 5566 7084 11132 19481 38962 77924 4006763 8013526 16027052 28047341 44074393 56094682 88148786 92155549 112189364 176297572 184311098 308520751 368622196 484818323 617041502 645088843 969636646 1013711039 1234083004 1290177686 1939273292 2027422078 2580355372 3393728261 4054844156 6787456522 7095977273 11150821429 13574913044 14191954546 22301642858 28383909092 44603285716 78055750003 156111500006 312223000012