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203141431011300 = 223526174051270913
BaseRepresentation
bin101110001100000110001100…
…110101011010011111100100
3222122021010112121022010020020
4232030012030311122133210
5203111232122314330200
62000013515102235140
760534325014323535
oct5614061465323744
9878233477263206
10203141431011300
11597aa884a13131
121a94a206285ab0
138947201c99902
14382415221068c
151874294e72ea0
hexb8c18cd5a7e4

203141431011300 has 144 divisors (see below), whose sum is σ = 588855974263872. Its totient is φ = 54069700608000.

The previous prime is 203141431011271. The next prime is 203141431011301. The reversal of 203141431011300 is 3110134141302.

It is a happy number.

203141431011300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203141431011301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749704644 + ... + 749975556.

Almost surely, 2203141431011300 is an apocalyptic number.

203141431011300 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 203141431011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294427987131936).

203141431011300 is an abundant number, since it is smaller than the sum of its proper divisors (385714543252572).

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

203141431011300 is a wasteful number, since it uses less digits than its factorization.

203141431011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275598 (or 275591 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 203141431011300 its reverse (3110134141302), we get a palindrome (206251565152602).

The spelling of 203141431011300 in words is "two hundred three trillion, one hundred forty-one billion, four hundred thirty-one million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 617 1234 1851 2468 3085 3702 4051 6170 7404 8102 9255 12153 12340 15425 16204 18510 20255 24306 30850 37020 40510 46275 48612 60765 61700 81020 92550 101275 121530 185100 202550 243060 270913 303825 405100 541826 607650 812739 1083652 1215300 1354565 1625478 2499467 2709130 3250956 4063695 4998934 5418260 6772825 7498401 8127390 9997868 12497335 13545650 14996802 16254780 20318475 24994670 27091300 29993604 37492005 40636950 49989340 62486675 74984010 81273900 124973350 149968020 167153321 187460025 249946700 334306642 374920050 501459963 668613284 749840100 835766605 1002919926 1097468563 1671533210 2005839852 2194937126 2507299815 3292405689 3343066420 4178833025 4389874252 5014599630 5487342815 6584811378 8357666050 10029199260 10974685630 12536499075 13169622756 16462028445 16715332100 21949371260 25072998150 27436714075 32924056890 50145996300 54873428150 65848113780 82310142225 109746856300 164620284450 329240568900 677138103371 1354276206742 2031414310113 2708552413484 3385690516855 4062828620226 6771381033710 8125657240452 10157071550565 13542762067420 16928452584275 20314143101130 33856905168550 40628286202260 50785357752825 67713810337100 101570715505650 203141431011300