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13212014002000 = 2453111931607689
BaseRepresentation
bin1100000001000010100101…
…1001101011111101010000
31201210001111222020202020221
43000100221121223331100
53212431201041031000
644033303200242424
72532352011030322
oct300205131537520
951701458222227
1013212014002000
114234202516470
1215946b0910414
1374ab700023c8
1433967192b612
1517da1c6e561a
hexc042966bf50

13212014002000 has 160 divisors (see below), whose sum is σ = 36685149321600. Its totient is φ = 4551507072000.

The previous prime is 13212014001913. The next prime is 13212014002001. The reversal of 13212014002000 is 20041021231.

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 (13212014002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15385845 + ... + 16221844.

It is an arithmetic number, because the mean of its divisors is an integer number (229282183260).

Almost surely, 213212014002000 is an apocalyptic number.

13212014002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212014002000 is an abundant number, since it is smaller than the sum of its proper divisors (23473135319600).

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

13212014002000 is a wasteful number, since it uses less digits than its factorization.

13212014002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31607742 (or 31607726 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13212014002000 its reverse (20041021231), we get a palindrome (13232055023231).

The spelling of 13212014002000 in words is "thirteen trillion, two hundred twelve billion, fourteen million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 125 152 176 190 200 209 220 250 275 304 380 400 418 440 475 500 550 760 836 880 950 1000 1045 1100 1375 1520 1672 1900 2000 2090 2200 2375 2750 3344 3800 4180 4400 4750 5225 5500 7600 8360 9500 10450 11000 16720 19000 20900 22000 26125 38000 41800 52250 83600 104500 209000 418000 31607689 63215378 126430756 158038445 252861512 316076890 347684579 505723024 600546091 632153780 695369158 790192225 1201092182 1264307560 1390738316 1580384450 1738422895 2402184364 2528615120 2781476632 3002730455 3160768900 3476845790 3950961125 4804368728 5562953264 6005460910 6321537800 6606007001 6953691580 7901922250 8692114475 9608737456 12010921820 12643075600 13212014002 13907383160 15013652275 15803844500 17384228950 24021843640 26424028004 27814766320 30027304550 31607689000 33030035005 34768457900 43460572375 48043687280 52848056008 60054609100 63215378000 66060070010 69536915800 75068261375 86921144750 105696112016 120109218200 132120140020 139073831600 150136522750 165150175025 173842289500 240218436400 264240280040 300273045500 330300350050 347684579000 528480560080 600546091000 660600700100 695369158000 825750875125 1201092182000 1321201400200 1651501750250 2642402800400 3303003500500 6606007001000 13212014002000