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100021210200 = 233252173268667
BaseRepresentation
bin101110100100110111…
…0101000110001011000
3100120011122112221011200
41131021232220301120
53114320412211300
6113541001354200
710140422154552
oct1351156506130
9316148487150
10100021210200
113946740269a
1217474a98960
139580027962
144babbc24d2
152906029200
hex1749ba8c58

100021210200 has 144 divisors (see below), whose sum is σ = 355663765080. Its totient is φ = 25103354880.

The previous prime is 100021210171. The next prime is 100021210207. The reversal of 100021210200 is 2012120001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021210207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1603734 + ... + 1664933.

Almost surely, 2100021210200 is an apocalyptic number.

100021210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021210200 is an abundant number, since it is smaller than the sum of its proper divisors (255642554880).

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

100021210200 is a wasteful number, since it uses less digits than its factorization.

100021210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268706 (or 3268694 counting only the distinct ones).

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

Adding to 100021210200 its reverse (2012120001), we get a palindrome (102033330201).

The spelling of 100021210200 in words is "one hundred billion, twenty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 3268667 6537334 9806001 13074668 16343335 19612002 26149336 29418003 32686670 39224004 49030005 55567339 58836006 65373340 78448008 81716675 98060010 111134678 117672012 130746680 147090015 163433350 166702017 196120020 222269356 235344024 245150025 277836695 294180030 326866700 333404034 392240040 444538712 490300050 500106051 555673390 588360060 653733400 666808068 735450075 833510085 980600100 1000212102 1111346780 1176720120 1333616136 1389183475 1470900150 1667020170 1961200200 2000424204 2222693560 2500530255 2778366950 2941800300 3334040340 4000848408 4167550425 5001060510 5556733900 5883600600 6668080680 8335100850 10002121020 11113467800 12502651275 16670201700 20004242040 25005302550 33340403400 50010605100 100021210200