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13525212020 = 2254131352697
BaseRepresentation
bin11001001100010101…
…00101101101110100
31021220121001221220112
430212022211231310
5210144423241040
610114032122152
7656111256005
oct144612455564
937817057815
1013525212020
1158106a1a81
122755696358
131377143648
149244051ac
155425ea365
hex3262a5b74

13525212020 has 48 divisors (see below), whose sum is σ = 29189211408. Its totient is φ = 5261168640.

The previous prime is 13525211993. The next prime is 13525212037. The reversal of 13525212020 is 2021252531.

13525212020 is digitally balanced in base 2, 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 8 ways, for example, as 1886686096 + 11638525924 = 43436^2 + 107882^2 .

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 15 ways as a sum of consecutive naturals, for example, 230312 + ... + 283008.

It is an arithmetic number, because the mean of its divisors is an integer number (608108571).

Almost surely, 213525212020 is an apocalyptic number.

13525212020 is a gapful number since it is divisible by the number (10) 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 13525212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594605704).

13525212020 is an abundant number, since it is smaller than the sum of its proper divisors (15663999388).

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

13525212020 is a wasteful number, since it uses less digits than its factorization.

13525212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53060 (or 53058 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 13525212020 its reverse (2021252531), we get a palindrome (15546464551).

The spelling of 13525212020 in words is "thirteen billion, five hundred twenty-five million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 313 410 626 820 1252 1565 3130 6260 12833 25666 51332 52697 64165 105394 128330 210788 256660 263485 526970 1053940 2160577 4321154 8642308 10802885 16494161 21605770 32988322 43211540 65976644 82470805 164941610 329883220 676260601 1352521202 2705042404 3381303005 6762606010 13525212020