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12505343000 = 2353191233281
BaseRepresentation
bin10111010010110000…
…00110010000011000
31012021112000020121212
423221120012100120
5201102331434000
65424520522252
7621615442643
oct135130062030
935245006555
1012505343000
115337a38317
122510020388
131243a6a857
14868ba4a5a
154d2ce1c35
hex2e9606418

12505343000 has 128 divisors (see below), whose sum is σ = 29647088640. Its totient is φ = 4936960000.

The previous prime is 12505342979. The next prime is 12505343009. The reversal of 12505343000 is 34350521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505343009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44502860 + ... + 44503140.

It is an arithmetic number, because the mean of its divisors is an integer number (231617880).

Almost surely, 212505343000 is an apocalyptic number.

12505343000 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 12505343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823544320).

12505343000 is an abundant number, since it is smaller than the sum of its proper divisors (17141745640).

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

12505343000 is a wasteful number, since it uses less digits than its factorization.

12505343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 12505343000 its reverse (34350521), we get a palindrome (12539693521).

The spelling of 12505343000 in words is "twelve billion, five hundred five million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 233 250 281 382 466 500 562 764 932 955 1000 1124 1165 1405 1528 1864 1910 2248 2330 2810 3820 4660 4775 5620 5825 7025 7640 9320 9550 11240 11650 14050 19100 23300 23875 28100 29125 35125 38200 44503 46600 47750 53671 56200 58250 65473 70250 89006 95500 107342 116500 130946 140500 178012 191000 214684 222515 233000 261892 268355 281000 327365 356024 429368 445030 523784 536710 654730 890060 1073420 1112575 1309460 1341775 1636825 1780120 2146840 2225150 2618920 2683550 3273650 4450300 5367100 5562875 6547300 6708875 8184125 8900600 10734200 11125750 12505343 13094600 13417750 16368250 22251500 25010686 26835500 32736500 44503000 50021372 53671000 62526715 65473000 100042744 125053430 250106860 312633575 500213720 625267150 1250534300 1563167875 2501068600 3126335750 6252671500 12505343000