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13134145000 = 23544179811
BaseRepresentation
bin11000011101101101…
…10010010111101000
31020220100012200210211
430032312302113220
5203344320120000
610011142150504
7643322250634
oct141666622750
936810180724
1013134145000
11562a978599
122666722434
13131410c042
148c84c7dc4
1551d0ed7ba
hex30edb25e8

13134145000 has 160 divisors (see below), whose sum is σ = 31962268800. Its totient is φ = 5054400000.

The previous prime is 13134144977. The next prime is 13134145027. The reversal of 13134145000 is 54143131.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16194595 + ... + 16195405.

It is an arithmetic number, because the mean of its divisors is an integer number (199764180).

Almost surely, 213134145000 is an apocalyptic number.

13134145000 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 13134145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981134400).

13134145000 is an abundant number, since it is smaller than the sum of its proper divisors (18828123800).

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

13134145000 is an equidigital number, since it uses as much as digits as its factorization.

13134145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13134145000 its reverse (54143131), we get a palindrome (13188288131).

The spelling of 13134145000 in words is "thirteen billion, one hundred thirty-four million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 79 82 100 125 158 164 200 205 250 316 328 395 410 500 625 632 790 811 820 1000 1025 1250 1580 1622 1640 1975 2050 2500 3160 3239 3244 3950 4055 4100 5000 5125 6478 6488 7900 8110 8200 9875 10250 12956 15800 16195 16220 19750 20275 20500 25625 25912 32390 32440 33251 39500 40550 41000 49375 51250 64069 64780 66502 79000 80975 81100 98750 101375 102500 128138 129560 133004 161950 162200 166255 197500 202750 205000 256276 266008 320345 323900 332510 395000 404875 405500 506875 512552 640690 647800 665020 809750 811000 831275 1013750 1281380 1330040 1601725 1619500 1662550 2024375 2027500 2562760 2626829 3203450 3239000 3325100 4048750 4055000 4156375 5253658 6406900 6650200 8008625 8097500 8312750 10507316 12813800 13134145 16017250 16195000 16625500 20781875 21014632 26268290 32034500 33251000 40043125 41563750 52536580 64069000 65670725 80086250 83127500 105073160 131341450 160172500 166255000 262682900 320345000 328353625 525365800 656707250 1313414500 1641768125 2626829000 3283536250 6567072500 13134145000