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203001344120 = 23553727131713
BaseRepresentation
bin1011110100001111010…
…0101011000001111000
3201101222111211202121202
42331003310223001320
511311221321002440
6233131343153332
720444363645261
oct2750364530170
9641874752552
10203001344120
1179101a6a493
12334148a5848
13161b2084443
149b7a957968
155431bd1615
hex2f43d2b078

203001344120 has 64 divisors (see below), whose sum is σ = 466014669120. Its totient is φ = 79558262784.

The previous prime is 203001344101. The next prime is 203001344171. The reversal of 203001344120 is 21443100302.

203001344120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 203001344092 and 203001344101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475384 + ... + 1607096.

It is an arithmetic number, because the mean of its divisors is an integer number (7281479205).

Almost surely, 2203001344120 is an apocalyptic number.

203001344120 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 203001344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233007334560).

203001344120 is an abundant number, since it is smaller than the sum of its proper divisors (263013325000).

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

203001344120 is a wasteful number, since it uses less digits than its factorization.

203001344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132504 (or 132500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 203001344120 its reverse (21443100302), we get a palindrome (224444444422).

The spelling of 203001344120 in words is "two hundred three billion, one million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 727 1060 1454 2120 2908 3635 5816 7270 14540 29080 38531 77062 131713 154124 192655 263426 308248 385310 526852 658565 770620 1053704 1317130 1541240 2634260 5268520 6980789 13961578 27923156 34903945 55846312 69807890 95755351 139615780 191510702 279231560 383021404 478776755 766042808 957553510 1915107020 3830214040 5075033603 10150067206 20300134412 25375168015 40600268824 50750336030 101500672060 203001344120