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12210303144 = 23313296122123
BaseRepresentation
bin10110101111100101…
…00111000010101000
31011111221211200000210
423113302213002220
5200001314200034
65335341101120
7611403602304
oct132762470250
934457750023
1012210303144
1151a6441526
1224492577a0
1311c78b8660
1483b922d04
154b6e628e9
hex2d7ca70a8

12210303144 has 128 divisors (see below), whose sum is σ = 34566537600. Its totient is φ = 3567836160.

The previous prime is 12210303137. The next prime is 12210303197. The reversal of 12210303144 is 44130301221.

12210303144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12210303144.

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 31 ways as a sum of consecutive naturals, for example, 540867 + ... + 562989.

It is an arithmetic number, because the mean of its divisors is an integer number (270051075).

Almost surely, 212210303144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283268800).

12210303144 is an abundant number, since it is smaller than the sum of its proper divisors (22356234456).

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

12210303144 is a wasteful number, since it uses less digits than its factorization.

12210303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22235 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12210303144 its reverse (44130301221), we get a palindrome (56340604365).

The spelling of 12210303144 in words is "twelve billion, two hundred ten million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 61 78 87 104 116 122 156 174 183 232 244 312 348 366 377 488 696 732 754 793 1131 1464 1508 1586 1769 2262 2379 3016 3172 3538 4524 4758 5307 6344 7076 9048 9516 10614 14152 19032 21228 22123 22997 42456 44246 45994 66369 68991 88492 91988 132738 137982 176984 183976 265476 275964 287599 530952 551928 575198 641567 862797 1150396 1283134 1349503 1725594 1924701 2300792 2566268 2699006 3451188 3849402 4048509 5132536 5398012 6902376 7698804 8097018 8340371 10796024 15397608 16194036 16680742 17543539 25021113 32388072 33361484 35087078 39135587 50042226 52630617 66722968 70174156 78271174 100084452 105261234 117406761 140348312 156542348 200168904 210522468 234813522 313084696 421044936 469627044 508762631 939254088 1017525262 1526287893 2035050524 3052575786 4070101048 6105151572 12210303144