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212122608312 = 2331131311573803
BaseRepresentation
bin1100010110001101111…
…1100010001010111000
3202021112012002222211110
43011203133202022320
511433411341431222
6241240415400320
721216411264246
oct3054337421270
9667465088743
10212122608312
1181a6275625a
123513b5230a0
13170069b1ba4
14a3a40d7796
1557b786330c
hex31637e22b8

212122608312 has 128 divisors (see below), whose sum is σ = 542659772160. Its totient is φ = 69085685760.

The previous prime is 212122608311. The next prime is 212122608317. The reversal of 212122608312 is 213806221212.

212122608312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212122608312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122608311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55775803 + ... + 55779605.

It is an arithmetic number, because the mean of its divisors is an integer number (4239529470).

Almost surely, 2212122608312 is an apocalyptic number.

It is an amenable number.

212122608312 is an abundant number, since it is smaller than the sum of its proper divisors (330537163848).

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

212122608312 is a wasteful number, since it uses less digits than its factorization.

212122608312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 212122608312 its reverse (213806221212), we get a palindrome (425928829524).

The spelling of 212122608312 in words is "two hundred twelve billion, one hundred twenty-two million, six hundred eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 113 131 157 226 262 314 339 393 452 471 524 628 678 786 904 942 1048 1256 1356 1572 1884 2712 3144 3768 3803 7606 11409 14803 15212 17741 20567 22818 29606 30424 35482 41134 44409 45636 53223 59212 61701 70964 82268 88818 91272 106446 118424 123402 141928 164536 177636 212892 246804 355272 425784 429739 493608 498193 597071 859478 996386 1194142 1289217 1494579 1718956 1791213 1992772 2324071 2388284 2578434 2989158 3437912 3582426 3985544 4648142 4776568 5156868 5978316 6972213 7164852 9296284 10313736 11956632 13944426 14329704 18592568 27888852 55777704 56295809 67469023 78216301 112591618 134938046 156432602 168887427 202407069 225183236 234648903 269876092 312865204 337774854 404814138 450366472 469297806 539752184 625730408 675549708 809628276 938595612 1351099416 1619256552 1877191224 8838442013 17676884026 26515326039 35353768052 53030652078 70707536104 106061304156 212122608312