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212012001000 = 23325323556889
BaseRepresentation
bin1100010101110011100…
…1100110011011101000
3202021020110222120010100
43011130321212123220
511433200033013000
6241221424545400
721213566163042
oct3053471463350
9667213876110
10212012001000
1181a0627a358
123510a482260
1316cb9ac6287
14a393544a92
1557accb5a00
hex315ce666e8

212012001000 has 96 divisors (see below), whose sum is σ = 716600593800. Its totient is φ = 56536531200.

The previous prime is 212012000989. The next prime is 212012001013. The reversal of 212012001000 is 100210212.

It can be written as a sum of positive squares in 4 ways, for example, as 62117586756 + 149894414244 = 249234^2 + 387162^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 11769445 + ... + 11787444.

Almost surely, 2212012001000 is an apocalyptic number.

212012001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012001000 is an abundant number, since it is smaller than the sum of its proper divisors (504588592800).

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

212012001000 is a wasteful number, since it uses less digits than its factorization.

212012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23556916 (or 23556899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212012001000 its reverse (100210212), we get a palindrome (212112211212).

The spelling of 212012001000 in words is "two hundred twelve billion, twelve million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 23556889 47113778 70670667 94227556 117784445 141341334 188455112 212012001 235568890 282682668 353353335 424024002 471137780 565365336 588922225 706706670 848048004 942275560 1060060005 1177844450 1413413340 1696096008 1766766675 2120120010 2355688900 2826826680 2944611125 3533533350 4240240020 4711377800 5300300025 5889222250 7067066700 8480480040 8833833375 10600600050 11778444500 14134133400 17667666750 21201200100 23556889000 26501500125 35335333500 42402400200 53003000250 70670667000 106006000500 212012001000