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200013043140200 = 235267139910669297
BaseRepresentation
bin101101011110100100101010…
…011000110000011001101000
3222020012001121212121020021002
4231132210222120300121220
5202204003203020441300
61545220420141134132
760062315444216363
oct5536445230603150
9866161555536232
10200013043140200
1158804067583664
121a523a4b55a348
13877b1c2586814
14375697bdbd0da
15181cbe91b35d5
hexb5e92a630668

200013043140200 has 96 divisors (see below), whose sum is σ = 472308483864000. Its totient is φ = 78754768266240.

The previous prime is 200013043140193. The next prime is 200013043140217. The reversal of 200013043140200 is 2041340310002.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 13411952 + ... + 24081248.

It is an arithmetic number, because the mean of its divisors is an integer number (4919880040250).

Almost surely, 2200013043140200 is an apocalyptic number.

200013043140200 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 200013043140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236154241932000).

200013043140200 is an abundant number, since it is smaller than the sum of its proper divisors (272295440723800).

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

200013043140200 is a wasteful number, since it uses less digits than its factorization.

200013043140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670779 (or 10670770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 200013043140200 its reverse (2041340310002), we get a palindrome (202054383450202).

The spelling of 200013043140200 in words is "two hundred trillion, thirteen billion, forty-three million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1399 1675 2680 2798 3350 5596 6700 6995 11192 13400 13990 27980 34975 55960 69950 93733 139900 187466 279800 374932 468665 749864 937330 1874660 2343325 3749320 4686650 9373300 10669297 18746600 21338594 42677188 53346485 85354376 106692970 213385940 266732425 426771880 533464850 714842899 1066929700 1429685798 2133859400 2859371596 3574214495 5718743192 7148428990 14296857980 14926346503 17871072475 28593715960 29852693006 35742144950 59705386012 71484289900 74631732515 119410772024 142968579800 149263465030 298526930060 373158662575 597053860120 746317325150 1000065215701 1492634650300 2000130431402 2985269300600 4000260862804 5000326078505 8000521725608 10000652157010 20001304314020 25001630392525 40002608628040 50003260785050 100006521570100 200013043140200