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212001200100 = 223352194132577
BaseRepresentation
bin1100010101110001000…
…0011001011111100100
3202021012201122211002000
43011130100121133210
511433134301400400
6241220401245300
721213405316404
oct3053420313744
9667181584060
10212001200100
1181a00172498
1235106933830
1316cb77b4001
14a391d32804
1557abd80600
hex315c4197e4

212001200100 has 144 divisors (see below), whose sum is σ = 717415540800. Its totient is φ = 53558184960.

The previous prime is 212001200077. The next prime is 212001200101. The reversal of 212001200100 is 1002100212.

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

It is not an unprimeable number, because it can be changed into a prime (212001200101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014989 + ... + 2117588.

Almost surely, 2212001200100 is an apocalyptic number.

212001200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001200100 is an abundant number, since it is smaller than the sum of its proper divisors (505414340700).

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

212001200100 is a wasteful number, since it uses less digits than its factorization.

212001200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132619 (or 4132606 counting only the distinct ones).

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

Adding to 212001200100 its reverse (1002100212), we get a palindrome (213003300312).

The spelling of 212001200100 in words is "two hundred twelve billion, one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 4132577 8265154 12397731 16530308 20662885 24795462 37193193 41325770 49590924 61988655 74386386 78518963 82651540 103314425 111579579 123977310 148772772 157037926 185965965 206628850 223159158 235556889 247954620 309943275 314075852 371931930 392594815 413257700 446318316 471113778 557897895 619886550 706670667 743863860 785189630 929829825 942227556 1115795790 1177784445 1239773100 1413341334 1570379260 1859659650 1962974075 2120012001 2231591580 2355568890 2789489475 2826682668 3533353335 3719319300 3925948150 4240024002 4711137780 5578978950 5888922225 7066706670 7851896300 8480048004 10600060005 11157957900 11777844450 14133413340 17666766675 21200120010 23555688900 35333533350 42400240020 53000300025 70667066700 106000600050 212001200100