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13110123120 = 2435192875027
BaseRepresentation
bin11000011010110110…
…01001101001110000
31020211200000020222120
430031123021221300
5203322142414440
610004523234240
7642611131203
oct141533115160
936750006876
1013110123120
1156183605a6
12265a678980
13130c14b103
148c523393a
1551ae55dd0
hex30d6c9a70

13110123120 has 80 divisors (see below), whose sum is σ = 42780416640. Its totient is φ = 3312029952.

The previous prime is 13110123043. The next prime is 13110123137. The reversal of 13110123120 is 2132101131.

It is a happy number.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13110123120.

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, 1432954 + ... + 1442073.

It is an arithmetic number, because the mean of its divisors is an integer number (534755208).

Almost surely, 213110123120 is an apocalyptic number.

13110123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110123120 is an abundant number, since it is smaller than the sum of its proper divisors (29670293520).

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

13110123120 is a wasteful number, since it uses less digits than its factorization.

13110123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875062 (or 2875056 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13110123120 its reverse (2132101131), we get a palindrome (15242224251).

The spelling of 13110123120 in words is "thirteen billion, one hundred ten million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 2875027 5750054 8625081 11500108 14375135 17250162 23000216 28750270 34500324 43125405 46000432 54625513 57500540 69000648 86250810 109251026 115001080 138001296 163876539 172501620 218502052 230002160 273127565 327753078 345003240 437004104 546255130 655506156 690006480 819382695 874008208 1092510260 1311012312 1638765390 2185020520 2622024624 3277530780 4370041040 6555061560 13110123120