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203102023120 = 24510125136389
BaseRepresentation
bin1011110100100111010…
…0101110110111010000
3201102020112021210020121
42331021310232313100
511311423104214440
6233145341120024
720450025466123
oct2751164566720
9642215253217
10203102023120
1179153885077
1233442559014
13161c9ba5009
149b8a0843ba
15543a96c34a
hex2f49d2edd0

203102023120 has 40 divisors (see below), whose sum is σ = 476887591080. Its totient is φ = 80436441600.

The previous prime is 203102023087. The next prime is 203102023139. The reversal of 203102023120 is 21320201302.

203102023120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63516096576 + 139585926544 = 252024^2 + 373612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 203102023094 and 203102023103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12560115 + ... + 12576274.

It is an arithmetic number, because the mean of its divisors is an integer number (11922189777).

Almost surely, 2203102023120 is an apocalyptic number.

203102023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203102023120 is an abundant number, since it is smaller than the sum of its proper divisors (273785567960).

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

203102023120 is a wasteful number, since it uses less digits than its factorization.

203102023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25136503 (or 25136497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 203102023120 its reverse (21320201302), we get a palindrome (224422224422).

The spelling of 203102023120 in words is "two hundred three billion, one hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 25136389 50272778 100545556 125681945 201091112 251363890 402182224 502727780 1005455560 2010911120 2538775289 5077550578 10155101156 12693876445 20310202312 25387752890 40620404624 50775505780 101551011560 203102023120