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13120214113140 = 2235794795778659
BaseRepresentation
bin1011111011101100100110…
…1100111001101101110100
31201110021120021120012210020
42332323021230321231310
53204430144303110030
643523202042125140
72522622064611351
oct276731154715564
951407507505706
1013120214113140
1141a9284907222
12157a9511b07b0
1374230032b844
14335043985628
1517b448333510
hexbeec9b39b74

13120214113140 has 96 divisors (see below), whose sum is σ = 37279291392000. Its totient is φ = 3447223757952.

The previous prime is 13120214113103. The next prime is 13120214113159. The reversal of 13120214113140 is 4131141202131.

It is a self number, because there is not a number n which added to its sum of digits gives 13120214113140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618870 + ... + 5159789.

It is an arithmetic number, because the mean of its divisors is an integer number (388325952000).

Almost surely, 213120214113140 is an apocalyptic number.

13120214113140 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 13120214113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639645696000).

13120214113140 is an abundant number, since it is smaller than the sum of its proper divisors (24159077278860).

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

13120214113140 is a wasteful number, since it uses less digits than its factorization.

13120214113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779229 (or 5779227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13120214113140 its reverse (4131141202131), we get a palindrome (17251355315271).

The spelling of 13120214113140 in words is "thirteen trillion, one hundred twenty billion, two hundred fourteen million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 479 790 948 958 1185 1437 1580 1916 2370 2395 2874 4740 4790 5748 7185 9580 14370 28740 37841 75682 113523 151364 189205 227046 378410 454092 567615 756820 1135230 2270460 5778659 11557318 17335977 23114636 28893295 34671954 57786590 69343908 86679885 115573180 173359770 346719540 456514061 913028122 1369542183 1826056244 2282570305 2739084366 2767977661 4565140610 5478168732 5535955322 6847710915 8303932983 9130281220 11071910644 13695421830 13839888305 16607865966 27390843660 27679776610 33215731932 41519664915 55359553220 83039329830 166078659660 218670235219 437340470438 656010705657 874680940876 1093351176095 1312021411314 2186702352190 2624042822628 3280053528285 4373404704380 6560107056570 13120214113140