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10101020200 = 2352173443659
BaseRepresentation
bin10010110100001000…
…10101011000101000
3222001221211222210021
421122010111120220
5131141330121300
64350151530224
7505212153325
oct113204253050
928057758707
1010101020200
114313842a87
121b5a989974
13c4c8ca43b
146bb73bb4c
153e1bb4d1a
hex25a115628

10101020200 has 96 divisors (see below), whose sum is σ = 23709866400. Its totient is φ = 4001903360.

The previous prime is 10101020161. The next prime is 10101020207. The reversal of 10101020200 is 202010101.

It is a super-3 number, since 3×101010202003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101020207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15327471 + ... + 15328129.

It is an arithmetic number, because the mean of its divisors is an integer number (246977775).

Almost surely, 210101020200 is an apocalyptic number.

10101020200 is a gapful number since it is divisible by the number (10) 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 10101020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854933200).

10101020200 is an abundant number, since it is smaller than the sum of its proper divisors (13608846200).

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

10101020200 is a wasteful number, since it uses less digits than its factorization.

10101020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10101020200 its reverse (202010101), we get a palindrome (10303030301).

The spelling of 10101020200 in words is "ten billion, one hundred one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 443 659 692 865 886 1318 1384 1730 1772 2215 2636 3295 3460 3544 4325 4430 5272 6590 6920 8650 8860 11075 13180 16475 17300 17720 22150 26360 32950 34600 44300 65900 76639 88600 114007 131800 153278 228014 291937 306556 383195 456028 570035 583874 613112 766390 912056 1140070 1167748 1459685 1532780 1915975 2280140 2335496 2850175 2919370 3065560 3831950 4560280 5700350 5838740 7298425 7663900 11400700 11677480 14596850 15327800 22801400 29193700 50505101 58387400 101010202 202020404 252525505 404040808 505051010 1010102020 1262627525 2020204040 2525255050 5050510100 10101020200