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13122121014 = 23626893347
BaseRepresentation
bin11000011100010001…
…11010110100110110
31020212111120211000000
430032020322310312
5203333230333024
610010032332130
7643115121402
oct141610726466
936774524000
1013122121014
115624105812
1226626a4046
13131178c162
148c6a78102
1551c025cc9
hex30e23ad36

13122121014 has 56 divisors (see below), whose sum is σ = 29531067480. Its totient is φ = 4371107328.

The previous prime is 13122120997. The next prime is 13122121027. The reversal of 13122121014 is 41012122131.

13122121014 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 (18).

It is a Curzon number.

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 27 ways as a sum of consecutive naturals, for example, 3918889 + ... + 3922235.

Almost surely, 213122121014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122121014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765533740).

13122121014 is an abundant number, since it is smaller than the sum of its proper divisors (16408946466).

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

13122121014 is an equidigital number, since it uses as much as digits as its factorization.

13122121014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13122121014 its reverse (41012122131), we get a palindrome (54134243145).

The spelling of 13122121014 in words is "thirteen billion, one hundred twenty-two million, one hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2689 3347 5378 6694 8067 10041 16134 20082 24201 30123 48402 60246 72603 90369 145206 180738 217809 271107 435618 542214 653427 813321 1306854 1626642 1960281 2439963 3920562 4879926 9000083 18000166 27000249 54000498 81000747 162001494 243002241 486004482 729006723 1458013446 2187020169 4374040338 6561060507 13122121014