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2010002020200 = 2332528641129229
BaseRepresentation
bin11101001111111101011…
…101001101011101101000
321010011011111102010021200
4131033331131031131220
5230412441004121300
64135214315004200
7265134503162556
oct35177535153550
97104144363250
102010002020200
11705489815689
12285675739660
131177087ab215
146d3dadbabd6
1537441139200
hex1d3fd74d768

2010002020200 has 144 divisors (see below), whose sum is σ = 6751090214700. Its totient is φ = 535934361600.

The previous prime is 2010002020193. The next prime is 2010002020217. The reversal of 2010002020200 is 20202000102.

It can be written as a sum of positive squares in 6 ways, for example, as 47251455876 + 1962750564324 = 217374^2 + 1400982^2 .

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 35 ways as a sum of consecutive naturals, for example, 15489186 + ... + 15618414.

Almost surely, 22010002020200 is an apocalyptic number.

2010002020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010002020200 is an abundant number, since it is smaller than the sum of its proper divisors (4741088194500).

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

2010002020200 is a wasteful number, since it uses less digits than its factorization.

2010002020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137892 (or 137880 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2010002020200 its reverse (20202000102), we get a palindrome (2030204020302).

The spelling of 2010002020200 in words is "two trillion, ten billion, two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 8641 17282 25923 34564 43205 51846 69128 77769 86410 103692 129229 129615 155538 172820 207384 216025 258458 259230 311076 345640 387687 388845 432050 516916 518460 622152 646145 648075 775374 777690 864100 1033832 1036920 1163061 1292290 1296150 1550748 1555380 1728200 1938435 1944225 2326122 2584580 2592300 3101496 3110760 3230725 3876870 3888450 4652244 5169160 5184600 5815305 6461450 7753740 7776900 9304488 9692175 11630610 12922900 15507480 15553800 19384350 23261220 25845800 29076525 38768700 46522440 58153050 77537400 116306100 232612200 1116667789 2233335578 3350003367 4466671156 5583338945 6700006734 8933342312 10050010101 11166677890 13400013468 16750016835 20100020202 22333355780 26800026936 27916694725 33500033670 40200040404 44666711560 50250050505 55833389450 67000067340 80400080808 83750084175 100500101010 111666778900 134000134680 167500168350 201000202020 223333557800 251250252525 335000336700 402000404040 502500505050 670000673400 1005001010100 2010002020200