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203300310120 = 233531229238649
BaseRepresentation
bin1011110101010110100…
…1001000110001101000
3201102202100101210212120
42331111221020301220
511312324334410440
6233221143111240
720454654060255
oct2752551106150
9642670353776
10203300310120
11792457a8026
1233498a42520
131622bcac6bb
149ba853c42c
15544d088dd0
hex2f55a48c68

203300310120 has 128 divisors (see below), whose sum is σ = 632327040000. Its totient is φ = 52235274240.

The previous prime is 203300310097. The next prime is 203300310121. The reversal of 203300310120 is 21013003302.

203300310120 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203300310120.

It is not an unprimeable number, because it can be changed into a prime (203300310121) 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, 732556 + ... + 971204.

It is an arithmetic number, because the mean of its divisors is an integer number (4940055000).

Almost surely, 2203300310120 is an apocalyptic number.

203300310120 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 203300310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316163520000).

203300310120 is an abundant number, since it is smaller than the sum of its proper divisors (429026729880).

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

203300310120 is a wasteful number, since it uses less digits than its factorization.

203300310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238923 (or 238919 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 203300310120 its reverse (21013003302), we get a palindrome (224313313422).

The spelling of 203300310120 in words is "two hundred three billion, three hundred million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 229 248 310 372 458 465 620 687 744 916 930 1145 1240 1374 1832 1860 2290 2748 3435 3720 4580 5496 6870 7099 9160 13740 14198 21297 27480 28396 35495 42594 56792 70990 85188 106485 141980 170376 212970 238649 283960 425940 477298 715947 851880 954596 1193245 1431894 1909192 2386490 2863788 3579735 4772980 5727576 7159470 7398119 9545960 14318940 14796238 22194357 28637880 29592476 36990595 44388714 54650621 59184952 73981190 88777428 109301242 110971785 147962380 163951863 177554856 218602484 221943570 273253105 295924760 327903726 437204968 443887140 546506210 655807452 819759315 887774280 1093012420 1311614904 1639518630 1694169251 2186024840 3279037260 3388338502 5082507753 6558074520 6776677004 8470846255 10165015506 13553354008 16941692510 20330031012 25412538765 33883385020 40660062024 50825077530 67766770040 101650155060 203300310120