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102020200020210 = 235191511637271881
BaseRepresentation
bin10111001100100101101101…
…110010000011100011110010
3111101020000222011001201122110
4113030211231302003203302
5101332444332201121320
61000551233300150150
730326500443034443
oct2714455562034362
9441200864051573
10102020200020210
112a56358428313a
12b538246698356
1344c06046484a4
141b29b383732ca
15bbdba5d785e0
hex5cc96dc838f2

102020200020210 has 128 divisors (see below), whose sum is σ = 261033803274240. Its totient is φ = 25445762496000.

The previous prime is 102020200020173. The next prime is 102020200020217. The reversal of 102020200020210 is 12020002020201.

It is not an unprimeable number, because it can be changed into a prime (102020200020217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10393470 + ... + 17665350.

It is an arithmetic number, because the mean of its divisors is an integer number (2039326588080).

Almost surely, 2102020200020210 is an apocalyptic number.

102020200020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020200020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130516901637120).

102020200020210 is an abundant number, since it is smaller than the sum of its proper divisors (159013603254030).

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

102020200020210 is a wasteful number, since it uses less digits than its factorization.

102020200020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272224.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020200020210 its reverse (12020002020201), we get a palindrome (114040202040411).

The spelling of 102020200020210 in words is "one hundred two trillion, twenty billion, two hundred million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 151 163 190 285 302 326 453 489 570 755 815 906 978 1510 1630 2265 2445 2869 3097 4530 4890 5738 6194 8607 9291 14345 15485 17214 18582 24613 28690 30970 43035 46455 49226 73839 86070 92910 123065 147678 246130 369195 467647 738390 935294 1402941 2338235 2805882 4676470 7014705 7271881 14029410 14543762 21815643 36359405 43631286 72718810 109078215 138165739 218156430 276331478 414497217 690828695 828994434 1098054031 1185316603 1381657390 2072486085 2196108062 2370633206 3294162093 3555949809 4144972170 5490270155 5926583015 6588324186 7111899618 10980540310 11853166030 16470810465 17779749045 20863026589 22521015457 32941620930 35559498090 41726053178 45042030914 62589079767 67563046371 104315132945 112605077285 125178159534 135126092742 178982807053 208630265890 225210154570 312945398835 337815231855 357965614106 536948421159 625890797670 675630463710 894914035265 1073896842318 1789828070530 2684742105795 3400673334007 5369484211590 6801346668014 10202020002021 17003366670035 20404040004042 34006733340070 51010100010105 102020200020210