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13103112144 = 24323107110923
BaseRepresentation
bin11000011010000000…
…11001111111010000
31020211011211001201210
430031000121333100
5203313344042034
610004113100120
7642464421063
oct141500317720
936734731653
1013103112144
115614402101
122658257640
13130a864bc5
148c432a8da
1551a51d8e9
hex30d019fd0

13103112144 has 80 divisors (see below), whose sum is σ = 35651860992. Its totient is φ = 4138721664.

The previous prime is 13103112103. The next prime is 13103112193. The reversal of 13103112144 is 44121130131.

It is a self number, because there is not a number n which added to its sum of digits gives 13103112144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62667 + ... + 173589.

Almost surely, 213103112144 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 13103112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825930496).

13103112144 is an abundant number, since it is smaller than the sum of its proper divisors (22548748848).

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

13103112144 is a wasteful number, since it uses less digits than its factorization.

13103112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111064 (or 111058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13103112144 its reverse (44121130131), we get a palindrome (57224242275).

The spelling of 13103112144 in words is "thirteen billion, one hundred three million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 138 184 214 276 321 368 428 552 642 856 1104 1284 1712 2461 2568 4922 5136 7383 9844 14766 19688 29532 39376 59064 110923 118128 221846 332769 443692 665538 887384 1331076 1774768 2551229 2662152 5102458 5324304 7653687 10204916 11868761 15307374 20409832 23737522 30614748 35606283 40819664 47475044 61229496 71212566 94950088 122458992 142425132 189900176 272981503 284850264 545963006 569700528 818944509 1091926012 1637889018 2183852024 3275778036 4367704048 6551556072 13103112144