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312211424514 = 231161229397853
BaseRepresentation
bin1001000101100010100…
…00000100010100000010
31002211212112212200000010
410202301100010110002
520103402111041024
6355232234205350
731361614215153
oct4426120042402
91084775780003
10312211424514
11110454234280
1250612b83856
1323597a1a7a2
141117ac7792a
1581c4793b29
hex48b1404502

312211424514 has 128 divisors (see below), whose sum is σ = 697947828480. Its totient is φ = 92310451200.

The previous prime is 312211424501. The next prime is 312211424519. The reversal of 312211424514 is 415424112213.

It is a super-2 number, since 2×3122114245142 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312211424519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366015312 + ... + 366016164.

It is an arithmetic number, because the mean of its divisors is an integer number (5452717410).

Almost surely, 2312211424514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312211424514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348973914240).

312211424514 is an abundant number, since it is smaller than the sum of its proper divisors (385736403966).

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

312211424514 is a wasteful number, since it uses less digits than its factorization.

312211424514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556.

The product of its digits is 7680, while the sum is 30.

Adding to 312211424514 its reverse (415424112213), we get a palindrome (727635536727).

The spelling of 312211424514 in words is "three hundred twelve billion, two hundred eleven million, four hundred twenty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 229 366 397 458 671 687 794 853 1191 1342 1374 1706 2013 2382 2519 2559 4026 4367 5038 5118 7557 8734 9383 13101 13969 15114 18766 24217 26202 27938 28149 41907 48434 52033 56298 72651 83814 90913 104066 145302 153659 156099 181826 195337 266387 272739 307318 312198 338641 390674 460977 532774 545478 572363 586011 677282 799161 921954 1000043 1015923 1144726 1172022 1598322 1717089 2000086 2031846 2148707 3000129 3434178 3725051 4297414 5545693 6000258 6446121 7450102 11091386 11175153 11915557 12892242 16637079 20657101 22350306 23831114 33274158 35746671 41314202 61002623 61971303 71493342 77548789 122005246 123942606 131071127 155097578 183007869 227228111 232646367 262142254 366015738 393213381 454456222 465292734 681684333 786426762 853036679 1363368666 1706073358 2559110037 4730476129 5118220074 9460952258 14191428387 28382856774 52035237419 104070474838 156105712257 312211424514