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13110141210120 = 2333512139019639
BaseRepresentation
bin1011111011000111000101…
…0011110100111000001000
31201102022120021121201112000
42332301301103310320020
53204244032122210440
643514414332551000
72522114343422223
oct276616123647010
951368507551460
1013110141210120
1141a4a85a29089
1215789bb922460
137413864c73b6
14334769c865ba
1517b058d74730
hexbec714f4e08

13110141210120 has 64 divisors (see below), whose sum is σ = 43700470704000. Its totient is φ = 3496037655744.

The previous prime is 13110141210119. The next prime is 13110141210143. The reversal of 13110141210120 is 2101214101131.

13110141210120 is a `hidden beast` number, since 1 + 31 + 101 + 412 + 1 + 0 + 120 = 666.

13110141210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13110141210093 and 13110141210102.

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, 6069508740 + ... + 6069510899.

It is an arithmetic number, because the mean of its divisors is an integer number (682819854750).

Almost surely, 213110141210120 is an apocalyptic number.

13110141210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110141210120 is an abundant number, since it is smaller than the sum of its proper divisors (30590329493880).

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

13110141210120 is a wasteful number, since it uses less digits than its factorization.

13110141210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139019659 (or 12139019649 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13110141210120 its reverse (2101214101131), we get a palindrome (15211355311251).

The spelling of 13110141210120 in words is "thirteen trillion, one hundred ten billion, one hundred forty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 12139019639 24278039278 36417058917 48556078556 60695098195 72834117834 97112157112 109251176751 121390196390 145668235668 182085294585 218502353502 242780392780 291336471336 327753530253 364170589170 437004707004 485560785560 546255883755 655507060506 728341178340 874009414008 1092511767510 1311014121012 1456682356680 1638767651265 2185023535020 2622028242024 3277535302530 4370047070040 6555070605060 13110141210120