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212210421140140 = 2251717324851145177
BaseRepresentation
bin110000010000000100010110…
…110001010000101010101100
31000211101010012010012121122121
4300100010112301100222230
5210303323420302441030
62031200042134522324
762461461030446023
oct6020042661205254
91024333163177577
10212210421140140
1161686a30468165
121b9739748063a4
139154483cbba37
143a590797518ba
15198013027e47a
hexc10116c50aac

212210421140140 has 96 divisors (see below), whose sum is σ = 474605971164864. Its totient is φ = 79425441177600.

The previous prime is 212210421140111. The next prime is 212210421140143. The reversal of 212210421140140 is 41041124012212.

It is not an unprimeable number, because it can be changed into a prime (212210421140143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1461663232 + ... + 1461808408.

It is an arithmetic number, because the mean of its divisors is an integer number (4943812199634).

Almost surely, 2212210421140140 is an apocalyptic number.

212210421140140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210421140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237302985582432).

212210421140140 is an abundant number, since it is smaller than the sum of its proper divisors (262395550024724).

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

212210421140140 is a wasteful number, since it uses less digits than its factorization.

212210421140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170227 (or 170225 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 212210421140140 its reverse (41041124012212), we get a palindrome (253251545152352).

The spelling of 212210421140140 in words is "two hundred twelve trillion, two hundred ten billion, four hundred twenty-one million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 340 346 692 865 1730 2941 3460 5882 11764 14705 24851 29410 49702 58820 99404 124255 145177 248510 290354 422467 497020 580708 725885 844934 1451770 1689868 2112335 2468009 2903540 4224670 4299223 4936018 8449340 8598446 9872036 12340045 17196892 21496115 24680090 25115621 42992230 49360180 50231242 73086791 85984460 100462484 125578105 146173582 251156210 292347164 365433955 426965557 502312420 730867910 853931114 1461735820 1707862228 2134827785 3607793627 4269655570 7215587254 8539311140 14431174508 18038968135 36077936270 61332491659 72155872540 122664983318 245329966636 306662458295 613324916590 624148297471 1226649833180 1248296594942 2496593189884 3120741487355 6241482974710 10610521057007 12482965949420 21221042114014 42442084228028 53052605285035 106105210570070 212210421140140