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212044123205244 = 223211644998301911
BaseRepresentation
bin110000001101101001011110…
…101000111110111001111100
31000210210012221112022020010200
4300031221132220332321330
5210243112331020031434
62030551420405003500
762443453021355421
oct6015513650767174
91023705845266120
10212044123205244
1161622453630330
121b9476a39b3590
1391418a102c525
143a50dc1635d48
15197ab4a957199
hexc0da5ea3ee7c

212044123205244 has 72 divisors (see below), whose sum is σ = 584736869808000. Its totient is φ = 64254790941600.

The previous prime is 212044123205197. The next prime is 212044123205261. The reversal of 212044123205244 is 442502321440212.

212044123205244 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 4 + 4 + 123 + 2 + 0 + 524 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212044123205199 and 212044123205208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21390649 + ... + 29692559.

It is an arithmetic number, because the mean of its divisors is an integer number (8121345414000).

Almost surely, 2212044123205244 is an apocalyptic number.

It is an amenable number.

212044123205244 is an abundant number, since it is smaller than the sum of its proper divisors (372692746602756).

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

212044123205244 is a wasteful number, since it uses less digits than its factorization.

212044123205244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366431 (or 8366426 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 212044123205244 its reverse (442502321440212), we get a palindrome (654546444645456).

The spelling of 212044123205244 in words is "two hundred twelve trillion, forty-four billion, one hundred twenty-three million, two hundred five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 64499 128998 193497 257996 386994 580491 709489 773988 1160982 1418978 2128467 2321964 2837956 4256934 6385401 8301911 8513868 12770802 16603822 24905733 25541604 33207644 49811466 74717199 91321021 99622932 149434398 182642042 273963063 298868796 365284084 547926126 821889189 1095852252 1643778378 3287556756 535464957589 1070929915178 1606394872767 2141859830356 3212789745534 4819184618301 5890114533479 6425579491068 9638369236602 11780229066958 17670343600437 19276738473204 23560458133916 35340687200874 53011030801311 70681374401748 106022061602622 212044123205244