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13140011122000 = 245374321827261
BaseRepresentation
bin1011111100110110010110…
…1100011111110101010000
31201112011122222010110112121
42333031211230133311100
53210241220321401000
643540234320504024
72524222503452350
oct277154554376520
951464588113477
1013140011122000
11420671379aa74
12158275717b014
13744136942879
14335da0d0ab60
1517bc06353b1a
hexbf365b1fd50

13140011122000 has 160 divisors (see below), whose sum is σ = 37155936939264. Its totient is φ = 4400375616000.

The previous prime is 13140011121989. The next prime is 13140011122001. The reversal of 13140011122000 is 22111004131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140011122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10311631 + ... + 11515630.

Almost surely, 213140011122000 is an apocalyptic number.

13140011122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140011122000 is an abundant number, since it is smaller than the sum of its proper divisors (24015925817264).

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

13140011122000 is a wasteful number, since it uses less digits than its factorization.

13140011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21827334 (or 21827318 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13140011122000 its reverse (22111004131), we get a palindrome (13162122126131).

The spelling of 13140011122000 in words is "thirteen trillion, one hundred forty billion, eleven million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 100 112 125 140 172 175 200 215 250 280 301 344 350 400 430 500 560 602 688 700 860 875 1000 1075 1204 1400 1505 1720 1750 2000 2150 2408 2800 3010 3440 3500 4300 4816 5375 6020 7000 7525 8600 10750 12040 14000 15050 17200 21500 24080 30100 37625 43000 60200 75250 86000 120400 150500 301000 602000 21827261 43654522 87309044 109136305 152790827 174618088 218272610 305581654 349236176 436545220 545681525 611163308 763954135 873090440 938572223 1091363050 1222326616 1527908270 1746180880 1877144446 2182726100 2444653232 2728407625 3055816540 3754288892 3819770675 4365452200 4692861115 5456815250 6111633080 6570005561 7508577784 7639541350 8730904400 9385722230 10913630500 12223266160 13140011122 15017155568 15279082700 18771444460 19098853375 21827261000 23464305575 26280022244 30558165400 32850027805 37542888920 38197706750 43654522000 46928611150 52560044488 61116330800 65700055610 75085777840 76395413500 93857222300 105120088976 117321527875 131400111220 152790827000 164250139025 187714444600 234643055750 262800222440 305581654000 328500278050 375428889200 469286111500 525600444880 657000556100 821250695125 938572223000 1314001112200 1642501390250 1877144446000 2628002224400 3285002780500 6570005561000 13140011122000