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13110203120 = 2457109721341
BaseRepresentation
bin11000011010110110…
…11101001011110000
31020211200011022201112
430031123131023300
5203322202444440
610004525052452
7642611613350
oct141533351360
936750138645
1013110203120
115618405713
12265a6b7128
13130c178651
148c5254b60
1551ae6e965
hex30d6dd2f0

13110203120 has 80 divisors (see below), whose sum is σ = 34869071808. Its totient is φ = 4490618880.

The previous prime is 13110203111. The next prime is 13110203131. The reversal of 13110203120 is 2130201131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13110203095 and 13110203104.

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, 603650 + ... + 624990.

Almost surely, 213110203120 is an apocalyptic number.

13110203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434535904).

13110203120 is an abundant number, since it is smaller than the sum of its proper divisors (21758868688).

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

13110203120 is a wasteful number, since it uses less digits than its factorization.

13110203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22458 (or 22452 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13110203120 its reverse (2130201131), we get a palindrome (15240404251).

The spelling of 13110203120 in words is "thirteen billion, one hundred ten million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1097 2194 4388 5485 7679 8776 10970 15358 17552 21341 21940 30716 38395 42682 43880 61432 76790 85364 87760 106705 122864 149387 153580 170728 213410 298774 307160 341456 426820 597548 614320 746935 853640 1195096 1493870 1707280 2390192 2987740 5975480 11950960 23411077 46822154 93644308 117055385 163877539 187288616 234110770 327755078 374577232 468221540 655510156 819387695 936443080 1311020312 1638775390 1872886160 2622040624 3277550780 6555101560 13110203120