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203132131320120 = 23354179495193989
BaseRepresentation
bin101110001011111101100010…
…100001111010000100111000
3222122020020112111021212012120
4232023331202201322010320
5203111104101104220440
62000005340213441240
760533545402260342
oct5613754241720470
9878206474255176
10203132131320120
11597a6942539542
121a94844b940220
13894637c3c9272
14382390d0a6292
151873ded7e8dd0
hexb8bf6287a138

203132131320120 has 128 divisors (see below), whose sum is σ = 624338373960000. Its totient is φ = 52840725278720.

The previous prime is 203132131320119. The next prime is 203132131320127. The reversal of 203132131320120 is 21023131231302.

203132131320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203132131320127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36512086 + ... + 41706074.

Almost surely, 2203132131320120 is an apocalyptic number.

203132131320120 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 203132131320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312169186980000).

203132131320120 is an abundant number, since it is smaller than the sum of its proper divisors (421206242639880).

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

203132131320120 is a wasteful number, since it uses less digits than its factorization.

203132131320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201993 (or 5201989 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 203132131320120 its reverse (21023131231302), we get a palindrome (224155262551422).

The spelling of 203132131320120 in words is "two hundred three trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 7949 15898 23847 31796 39745 47694 63592 79490 95388 119235 158980 190776 238470 317960 325909 476940 651818 953880 977727 1303636 1629545 1955454 2607272 3259090 3910908 4888635 5193989 6518180 7821816 9777270 10387978 13036360 15581967 19554540 20775956 25969945 31163934 39109080 41551912 51939890 62327868 77909835 103879780 124655736 155819670 207759560 212953549 311639340 425907098 623278680 638860647 851814196 1064767745 1277721294 1703628392 2129535490 2555442588 3194303235 4259070980 5110885176 6388606470 8518141960 12777212940 25554425880 41287018561 82574037122 123861055683 165148074244 206435092805 247722111366 330296148488 412870185610 495444222732 619305278415 825740371220 990888445464 1238610556830 1651480742440 1692767761001 2477221113660 3385535522002 4954442227320 5078303283003 6771071044004 8463838805005 10156606566006 13542142088008 16927677610010 20313213132012 25391516415015 33855355220020 40626426264024 50783032830030 67710710440040 101566065660060 203132131320120