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13110120720 = 2432531587371
BaseRepresentation
bin11000011010110110…
…01001000100010000
31020211200000010200200
430031123021010100
5203322142330340
610004523215200
7642611121204
oct141533110420
936750003620
1013110120720
115618359814
12265a677500
13130c149ca8
148c5232b04
1551ae55330
hex30d6c9110

13110120720 has 120 divisors (see below), whose sum is σ = 45448495872. Its totient is φ = 3383251200.

The previous prime is 13110120701. The next prime is 13110120731. The reversal of 13110120720 is 2702101131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 13110120693 and 13110120702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271366 + ... + 316005.

Almost surely, 213110120720 is an apocalyptic number.

13110120720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110120720 is an abundant number, since it is smaller than the sum of its proper divisors (32338375152).

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

13110120720 is a wasteful number, since it uses less digits than its factorization.

13110120720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587421 (or 587412 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 13110120720 its reverse (2702101131), we get a palindrome (15812221851).

The spelling of 13110120720 in words is "thirteen billion, one hundred ten million, one hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 587371 1174742 1762113 2349484 2936855 3524226 4698968 5286339 5873710 7048452 8810565 9397936 10572678 11747420 14096904 17621130 18208501 21145356 23494840 26431695 28193808 35242260 36417002 42290712 46989680 52863390 54625503 70484520 72834004 84581424 91042505 105726780 109251006 140969040 145668008 163876509 182085010 211453560 218502012 273127515 291336016 327753018 364170020 422907120 437004024 546255030 655506036 728340040 819382545 874008048 1092510060 1311012072 1456680080 1638765090 2185020120 2622024144 3277530180 4370040240 6555060360 13110120720