Search a number
-
+
12104210016 = 2532156726821
BaseRepresentation
bin10110100010111011…
…11001011001100000
31011020120012120121200
423101131321121200
5144242134210031
65321031121200
7605645042013
oct132135713140
934216176550
1012104210016
115151569158
122419813200
1311ab920662
1482b7c737a
154ac9a78e6
hex2d1779660

12104210016 has 72 divisors (see below), whose sum is σ = 34444597824. Its totient is φ = 4032011520.

The previous prime is 12104209987. The next prime is 12104210047. The reversal of 12104210016 is 61001240121.

12104210016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×121042100162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 437886 + ... + 464706.

It is an arithmetic number, because the mean of its divisors is an integer number (478397192).

Almost surely, 212104210016 is an apocalyptic number.

12104210016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12104210016 is an abundant number, since it is smaller than the sum of its proper divisors (22340387808).

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

12104210016 is a wasteful number, since it uses less digits than its factorization.

12104210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28404 (or 28393 counting only the distinct ones).

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

Adding to 12104210016 its reverse (61001240121), we get a palindrome (73105450137).

The spelling of 12104210016 in words is "twelve billion, one hundred four million, two hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1567 3134 4701 6268 9402 12536 14103 18804 25072 26821 28206 37608 50144 53642 56412 75216 80463 107284 112824 150432 160926 214568 225648 241389 321852 429136 451296 482778 643704 858272 965556 1287408 1931112 2574816 3862224 7724448 42028507 84057014 126085521 168114028 252171042 336228056 378256563 504342084 672456112 756513126 1008684168 1344912224 1513026252 2017368336 3026052504 4034736672 6052105008 12104210016