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13532152120 = 2352348730203
BaseRepresentation
bin11001001101001010…
…00100000100111000
31021221002010112221021
430212211010010320
5210203212331440
610114440552224
7656224252354
oct144645040470
937832115837
1013532152120
1158146021a3
122757a82674
131378703506
149252d0464
1554301b84a
hex326944138

13532152120 has 64 divisors (see below), whose sum is σ = 31837432320. Its totient is φ = 5166716544.

The previous prime is 13532152111. The next prime is 13532152141. The reversal of 13532152120 is 2125123531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432939 + ... + 463141.

It is an arithmetic number, because the mean of its divisors is an integer number (497459880).

Almost surely, 213532152120 is an apocalyptic number.

13532152120 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 13532152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918716160).

13532152120 is an abundant number, since it is smaller than the sum of its proper divisors (18305280200).

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

13532152120 is a wasteful number, since it uses less digits than its factorization.

13532152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30724 (or 30720 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 13532152120 its reverse (2125123531), we get a palindrome (15657275651).

The spelling of 13532152120 in words is "thirteen billion, five hundred thirty-two million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 487 920 974 1948 2435 3896 4870 9740 11201 19480 22402 30203 44804 56005 60406 89608 112010 120812 151015 224020 241624 302030 448040 604060 694669 1208120 1389338 2778676 3473345 5557352 6946690 13893380 14708861 27786760 29417722 58835444 73544305 117670888 147088610 294177220 338303803 588354440 676607606 1353215212 1691519015 2706430424 3383038030 6766076060 13532152120