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210102201201000 = 23353666110514047
BaseRepresentation
bin101111110001011000111011…
…000100011011000101101000
31000112220120111122110020202110
4233301120323010123011220
5210014303302001413000
62022503341353002320
762153245256601213
oct5761307304330550
91015816448406673
10210102201201000
1160a43930252349
121b69326a0b33a0
139030724c89024
1439c500228477a
1519453915c4850
hexbf163b11b168

210102201201000 has 128 divisors (see below), whose sum is σ = 655617341583360. Its totient is φ = 56018837088000.

The previous prime is 210102201200993. The next prime is 210102201201029. The reversal of 210102201201000 is 102102201012.

210102201201000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14725977 + ... + 25240023.

It is an arithmetic number, because the mean of its divisors is an integer number (5122010481120).

Almost surely, 2210102201201000 is an apocalyptic number.

210102201201000 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 210102201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327808670791680).

210102201201000 is an abundant number, since it is smaller than the sum of its proper divisors (445515140382360).

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

210102201201000 is a wasteful number, since it uses less digits than its factorization.

210102201201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10520732 (or 10520718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210102201201000 its reverse (102102201012), we get a palindrome (210204303402012).

The spelling of 210102201201000 in words is "two hundred ten trillion, one hundred two billion, two hundred one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6661 13322 19983 26644 33305 39966 53288 66610 79932 99915 133220 159864 166525 199830 266440 333050 399660 499575 666100 799320 832625 999150 1332200 1665250 1998300 2497875 3330500 3996600 4995750 6661000 9991500 10514047 19983000 21028094 31542141 42056188 52570235 63084282 84112376 105140470 126168564 157710705 210280940 252337128 262851175 315421410 420561880 525702350 630842820 788553525 1051404700 1261685640 1314255875 1577107050 2102809400 2628511750 3154214100 3942767625 5257023500 6308428200 7885535250 10514047000 15771070500 31542141000 70034067067 140068134134 210102201201 280136268268 350170335335 420204402402 560272536536 700340670670 840408804804 1050511006005 1400681341340 1680817609608 1750851676675 2101022012010 2801362682680 3501703353350 4202044024020 5252555030025 7003406706700 8404088048040 8754258383375 10505110060050 14006813413400 17508516766750 21010220120100 26262775150125 35017033533500 42020440240200 52525550300250 70034067067000 105051100600500 210102201201000