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10200110200 = 2352718140253
BaseRepresentation
bin10010111111111100…
…10101010001111000
3222022212022021201021
421133332111101320
5131342212011300
64404051432224
7510524335420
oct113776252170
928285267637
1010200110200
114364772845
121b87bb5674
13c672b2987
146ca973480
153ea739d1a
hex25ff95478

10200110200 has 96 divisors (see below), whose sum is σ = 27253568160. Its totient is φ = 3477772800.

The previous prime is 10200110197. The next prime is 10200110213. The reversal of 10200110200 is 201100201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233274 + ... + 273526.

It is an arithmetic number, because the mean of its divisors is an integer number (283891335).

Almost surely, 210200110200 is an apocalyptic number.

10200110200 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 10200110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626784080).

10200110200 is an abundant number, since it is smaller than the sum of its proper divisors (17053457960).

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

10200110200 is a wasteful number, since it uses less digits than its factorization.

10200110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40457 (or 40448 counting only the distinct ones).

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

Adding to 10200110200 its reverse (201100201), we get a palindrome (10401210401).

Subtracting from 10200110200 its reverse (201100201), we obtain a palindrome (9999009999).

The spelling of 10200110200 in words is "ten billion, two hundred million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 181 200 280 350 362 700 724 905 1267 1400 1448 1810 2534 3620 4525 5068 6335 7240 9050 10136 12670 18100 25340 31675 36200 40253 50680 63350 80506 126700 161012 201265 253400 281771 322024 402530 563542 805060 1006325 1127084 1408855 1610120 2012650 2254168 2817710 4025300 5635420 7044275 7285793 8050600 11270840 14088550 14571586 28177100 29143172 36428965 51000551 56354200 58286344 72857930 102001102 145715860 182144825 204002204 255002755 291431720 364289650 408004408 510005510 728579300 1020011020 1275013775 1457158600 2040022040 2550027550 5100055100 10200110200