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212002120008 = 23327509826403
BaseRepresentation
bin1100010101110001001…
…1111010000101001000
3202021012210101112221200
43011130103322011020
511433140020320013
6241220433104200
721213416200350
oct3053423720510
9667183345850
10212002120008
1181a00740648
12351070b8060
1316cb7a46933
14a3920d1b60
1557abeb2e73
hex315c4fa148

212002120008 has 96 divisors (see below), whose sum is σ = 657487022400. Its totient is φ = 60452959104.

The previous prime is 212002120007. The next prime is 212002120019. The reversal of 212002120008 is 800021200212.

It is a happy number.

It is a super-3 number, since 3×2120021200083 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212002120007) 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 23 ways as a sum of consecutive naturals, for example, 156666 + ... + 669737.

It is an arithmetic number, because the mean of its divisors is an integer number (6848823150).

Almost surely, 2212002120008 is an apocalyptic number.

212002120008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212002120008 is an abundant number, since it is smaller than the sum of its proper divisors (445484902392).

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

212002120008 is a wasteful number, since it uses less digits than its factorization.

212002120008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826931 (or 826924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 212002120008 in words is "two hundred twelve billion, two million, one hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 509 1018 1527 2036 3054 3563 4072 4581 6108 7126 9162 10689 12216 14252 18324 21378 28504 32067 36648 42756 64134 85512 128268 256536 826403 1652806 2479209 3305612 4958418 5784821 6611224 7437627 9916836 11569642 14875254 17354463 19833672 23139284 29750508 34708926 46278568 52063389 59501016 69417852 104126778 138835704 208253556 416507112 420639127 841278254 1261917381 1682556508 2523834762 2944473889 3365113016 3785752143 5047669524 5888947778 7571504286 8833421667 10095339048 11777895556 15143008572 17666843334 23555791112 26500265001 30286017144 35333686668 53000530002 70667373336 106001060004 212002120008