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13212034000 = 2453113716231
BaseRepresentation
bin11000100110111111…
…11010001111010000
31021002202202212102121
430103133322033100
5204024240042000
610023003424024
7645256302364
oct142337721720
937082685377
1013212034000
11566a937770
122688825014
1313272b05c9
148d49a12a4
15524d86b1a
hex3137fa3d0

13212034000 has 160 divisors (see below), whose sum is σ = 35795066112. Its totient is φ = 4674240000.

The previous prime is 13212033983. The next prime is 13212034001. The reversal of 13212034000 is 43021231.

It is a happy number.

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 (13212034001) 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, 805885 + ... + 822115.

Almost surely, 213212034000 is an apocalyptic number.

13212034000 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 13212034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897533056).

13212034000 is an abundant number, since it is smaller than the sum of its proper divisors (22583032112).

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

13212034000 is a wasteful number, since it uses less digits than its factorization.

13212034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16302 (or 16286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13212034000 its reverse (43021231), we get a palindrome (13255055231).

The spelling of 13212034000 in words is "thirteen billion, two hundred twelve million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 74 80 88 100 110 125 148 176 185 200 220 250 275 296 370 400 407 440 500 550 592 740 814 880 925 1000 1100 1375 1480 1628 1850 2000 2035 2200 2750 2960 3256 3700 4070 4400 4625 5500 6512 7400 8140 9250 10175 11000 14800 16231 16280 18500 20350 22000 32462 32560 37000 40700 50875 64924 74000 81155 81400 101750 129848 162310 162800 178541 203500 259696 324620 357082 405775 407000 600547 649240 714164 811550 814000 892705 1201094 1298480 1428328 1623100 1785410 2028875 2402188 2856656 3002735 3246200 3570820 4057750 4463525 4804376 6005470 6492400 6606017 7141640 8115500 8927050 9608752 12010940 13212034 14283280 15013675 16231000 17854100 22317625 24021880 26424068 30027350 32462000 33030085 35708200 44635250 48043760 52848136 60054700 66060170 71416400 75068375 89270500 105696272 120109400 132120340 150136750 165150425 178541000 240218800 264240680 300273500 330300850 357082000 528481360 600547000 660601700 825752125 1201094000 1321203400 1651504250 2642406800 3303008500 6606017000 13212034000