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203342531220 = 2235559709153
BaseRepresentation
bin1011110101100000101…
…0001100101010010100
3201102212021211212100000
42331120022030222110
511312421141444340
6233225252051300
720456005665663
oct2753012145224
9642767755300
10203342531220
11792676153a4
12334ab003b30
13162379731ba
149baddacdda
155451b28d30
hex2f5828ca94

203342531220 has 144 divisors (see below), whose sum is σ = 650492781120. Its totient is φ = 53305537536.

The previous prime is 203342531141. The next prime is 203342531233. The reversal of 203342531220 is 22135243302.

203342531220 is a `hidden beast` number, since 2 + 0 + 3 + 342 + 5 + 312 + 2 + 0 = 666.

203342531220 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67837 + ... + 641316.

It is an arithmetic number, because the mean of its divisors is an integer number (4517310980).

Almost surely, 2203342531220 is an apocalyptic number.

203342531220 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 203342531220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325246390560).

203342531220 is an abundant number, since it is smaller than the sum of its proper divisors (447150249900).

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

203342531220 is a wasteful number, since it uses less digits than its factorization.

203342531220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709236 (or 709222 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 203342531220 its reverse (22135243302), we get a palindrome (225477774522).

The spelling of 203342531220 in words is "two hundred three billion, three hundred forty-two million, five hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 243 270 295 324 354 405 486 531 540 590 708 810 885 972 1062 1180 1215 1593 1620 1770 2124 2430 2655 3186 3540 4779 4860 5310 6372 7965 9558 10620 14337 15930 19116 23895 28674 31860 47790 57348 71685 95580 143370 286740 709153 1418306 2127459 2836612 3545765 4254918 6382377 7091530 8509836 10637295 12764754 14183060 19147131 21274590 25529508 31911885 38294262 41840027 42549180 57441393 63823770 76588524 83680054 95735655 114882786 125520081 127647540 167360108 172324179 191471310 209200135 229765572 251040162 287206965 344648358 376560243 382942620 418400270 502080324 574413930 627600405 689296716 753120486 836800540 861620895 1129680729 1148827860 1255200810 1506240972 1723241790 1882801215 2259361458 2510401620 3389042187 3446483580 3765602430 4518722916 5648403645 6778084374 7531204860 10167126561 11296807290 13556168748 16945210935 20334253122 22593614580 33890421870 40668506244 50835632805 67780843740 101671265610 203342531220