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13504212120 = 2335716076443
BaseRepresentation
bin11001001001110100…
…11110110010011000
31021212010120001110110
430210322132302120
5210124034241440
610112002044320
7655434623550
oct144472366230
937763501413
1013504212120
1157aa859493
12274a6496a0
1313729a0079
149216da160
1554084d080
hex324e9ec98

13504212120 has 64 divisors (see below), whose sum is σ = 46300158720. Its totient is φ = 3086676864.

The previous prime is 13504212119. The next prime is 13504212149. The reversal of 13504212120 is 2121240531.

13504212120 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 (21).

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, 8037382 + ... + 8039061.

It is an arithmetic number, because the mean of its divisors is an integer number (723439980).

Almost surely, 213504212120 is an apocalyptic number.

13504212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13504212120 is an abundant number, since it is smaller than the sum of its proper divisors (32795946600).

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

13504212120 is a wasteful number, since it uses less digits than its factorization.

13504212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16076464 (or 16076460 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 13504212120 its reverse (2121240531), we get a palindrome (15625452651).

The spelling of 13504212120 in words is "thirteen billion, five hundred four million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 16076443 32152886 48229329 64305772 80382215 96458658 112535101 128611544 160764430 192917316 225070202 241146645 321528860 337605303 385834632 450140404 482293290 562675505 643057720 675210606 900280808 964586580 1125351010 1350421212 1688026515 1929173160 2250702020 2700842424 3376053030 4501404040 6752106060 13504212120