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13531113210 = 23523167117427
BaseRepresentation
bin11001001101000010…
…00110011011111010
31021221000011202211010
430212201012123322
5210202431110320
610114402414350
7656212364436
oct144641063372
937830152733
1013531113210
115813a6269a
1227576613b6
13137842b684
149250dd9c6
15542db3ae0
hex3268466fa

13531113210 has 64 divisors (see below), whose sum is σ = 34089818112. Its totient is φ = 3430718016.

The previous prime is 13531113203. The next prime is 13531113217. The reversal of 13531113210 is 1231113531.

13531113210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13531113203) and next prime (13531113217).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13531113217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56517 + ... + 173943.

It is an arithmetic number, because the mean of its divisors is an integer number (532653408).

Almost surely, 213531113210 is an apocalyptic number.

13531113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044909056).

13531113210 is an abundant number, since it is smaller than the sum of its proper divisors (20558704902).

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

13531113210 is a wasteful number, since it uses less digits than its factorization.

13531113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117627.

The product of its (nonzero) digits is 270, while the sum is 21.

Adding to 13531113210 its reverse (1231113531), we get a palindrome (14762226741).

The spelling of 13531113210 in words is "thirteen billion, five hundred thirty-one million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 167 230 334 345 501 690 835 1002 1670 2505 3841 5010 7682 11523 19205 23046 38410 57615 115230 117427 234854 352281 587135 704562 1174270 1761405 2700821 3522810 5401642 8102463 13504105 16204926 19610309 27008210 39220618 40512315 58830927 81024630 98051545 117661854 196103090 294154635 451037107 588309270 902074214 1353111321 2255185535 2706222642 4510371070 6765556605 13531113210