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203204225324144 = 241153182291195037
BaseRepresentation
bin101110001101000000101011…
…101010101101010001110000
3222122111010121211212201120202
4232031000223222231101300
5203113244223140333034
62000102422110254332
760542010064222112
oct5615005352552160
9878433554781522
10203204225324144
1159824478743850
121a95a40bab73a8
1389500cb612545
1438271cbc473b2
151875c1cb8a47e
hexb8d02baad470

203204225324144 has 80 divisors (see below), whose sum is σ = 437627982561120. Its totient is φ = 90617763425280.

The previous prime is 203204225324119. The next prime is 203204225324203. The reversal of 203204225324144 is 441423522402302.

It is a junction number, because it is equal to n+sod(n) for n = 203204225324098 and 203204225324107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169442594 + ... + 170637630.

It is an arithmetic number, because the mean of its divisors is an integer number (5470349782014).

Almost surely, 2203204225324144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203204225324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218813991280560).

203204225324144 is an abundant number, since it is smaller than the sum of its proper divisors (234423757236976).

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

203204225324144 is a wasteful number, since it uses less digits than its factorization.

203204225324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213338 (or 1213332 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 203204225324144 its reverse (441423522402302), we get a palindrome (644627747726446).

The spelling of 203204225324144 in words is "two hundred three trillion, two hundred four billion, two hundred twenty-five million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 18229 36458 72916 145832 200519 291664 401038 802076 966137 1195037 1604152 1932274 2390074 3208304 3864548 4780148 7729096 9560296 10627507 13145407 15458192 19120592 21255014 26290814 42510028 52581628 63336961 85020056 105163256 126673922 170040112 210326512 253347844 506695688 696706571 1013391376 1393413142 2786826284 5573652568 11147305136 21784329473 43568658946 87137317892 174274635784 239627624203 348549271568 479255248406 958510496812 1154569462069 1917020993624 2309138924138 3834041987248 4618277848276 9236555696552 12700264082759 18473111393104 25400528165518 50801056331036 101602112662072 203204225324144