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200220201010100 = 2252531033311108069
BaseRepresentation
bin101101100001100101100101…
…111101010100001110110100
3222020220212100001200101100002
4231201211211331110032310
5202220401432424310400
61545455520205210432
760113301142110635
oct5541454575241664
9866825301611302
10200220201010100
1158883a01816417
121a558024260a18
1387948b780496b
1437629d099388c
1518232c0c37ed5
hexb61965f543b4

200220201010100 has 144 divisors (see below), whose sum is σ = 448324129169280. Its totient is φ = 77578943270400.

The previous prime is 200220201010087. The next prime is 200220201010157. The reversal of 200220201010100 is 1010102022002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180138866 + ... + 181246934.

It is an arithmetic number, because the mean of its divisors is an integer number (3113362008120).

Almost surely, 2200220201010100 is an apocalyptic number.

200220201010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200220201010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224162064584640).

200220201010100 is an abundant number, since it is smaller than the sum of its proper divisors (248103928159180).

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

200220201010100 is a wasteful number, since it uses less digits than its factorization.

200220201010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108570 (or 1108563 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200220201010100 its reverse (1010102022002), we get a palindrome (201230303032102).

The spelling of 200220201010100 in words is "two hundred trillion, two hundred twenty billion, two hundred one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 103 106 206 212 265 331 412 515 530 662 1030 1060 1324 1325 1655 2060 2575 2650 3310 5150 5300 5459 6620 8275 10300 10918 16550 17543 21836 27295 33100 34093 35086 54590 68186 70172 87715 109180 136372 136475 170465 175430 272950 340930 350860 438575 545900 681860 852325 877150 1108069 1704650 1754300 1806929 2216138 3409300 3613858 4432276 5540345 7227716 9034645 11080690 18069290 22161380 27701725 36138580 45173225 55403450 58727657 90346450 110806900 114131107 117455314 180692900 228262214 234910628 293638285 366770839 456524428 570655535 587276570 733541678 1141311070 1174553140 1467083356 1468191425 1833854195 2282622140 2853277675 2936382850 3667708390 5706555350 5872765700 6048948671 7335416780 9169270975 11413110700 12097897342 18338541950 19438854467 24195794684 30244743355 36677083900 37777396417 38877708934 60489486710 75554792834 77755417868 97194272335 120978973420 151109585668 151223716775 188886982085 194388544670 302447433550 377773964170 388777089340 485971361675 604894867100 755547928340 944434910425 971942723350 1888869820850 1943885446700 2002202010101 3777739641700 4004404020202 8008808040404 10011010050505 20022020101010 40044040202020 50055050252525 100110100505050 200220201010100