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10141200410200 = 2352173181937663
BaseRepresentation
bin1001001110010010111010…
…1001011110011001011000
31022220111012200201021210121
42103210232221132121120
52312123134301111300
633322445251523024
72064451254130636
oct223445651363130
938814180637717
1010141200410200
11325a94a284102
1211795235b9474
135874076265c2
14270b9dd56356
15128be123181a
hex9392ea5e658

10141200410200 has 96 divisors (see below), whose sum is σ = 24973124117760. Its totient is φ = 3816659404800.

The previous prime is 10141200410197. The next prime is 10141200410203. The reversal of 10141200410200 is 201400214101.

It is a happy number.

10141200410200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10141200410197) and next prime (10141200410203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141200410203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10346569 + ... + 11284231.

It is an arithmetic number, because the mean of its divisors is an integer number (260136709560).

Almost surely, 210141200410200 is an apocalyptic number.

10141200410200 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 10141200410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486562058880).

10141200410200 is an abundant number, since it is smaller than the sum of its proper divisors (14831923707560).

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

10141200410200 is a wasteful number, since it uses less digits than its factorization.

10141200410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940877 (or 940868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10141200410200 its reverse (201400214101), we get a palindrome (10342600624301).

The spelling of 10141200410200 in words is "ten trillion, one hundred forty-one billion, two hundred million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3181 3400 6362 12724 15905 25448 31810 54077 63620 79525 108154 127240 159050 216308 270385 318100 432616 540770 636200 937663 1081540 1351925 1875326 2163080 2703850 3750652 4688315 5407700 7501304 9376630 10815400 15940271 18753260 23441575 31880542 37506520 46883150 63761084 79701355 93766300 127522168 159402710 187532600 318805420 398506775 637610840 797013550 1594027100 2982706003 3188054200 5965412006 11930824012 14913530015 23861648024 29827060030 50706002051 59654120060 74567650075 101412004102 119308240120 149135300150 202824008204 253530010255 298270600300 405648016408 507060020510 596541200600 1014120041020 1267650051275 2028240082040 2535300102550 5070600205100 10141200410200