Search a number
-
+
10143220334000 = 2453131933201823
BaseRepresentation
bin1001001110011010011100…
…0010110111110110110000
31022220200102110120001100012
42103212213002313312300
52312141303401142000
633323421525514052
72064552312163415
oct223464702676660
938820373501305
1010143220334000
113260796499816
1211799a7b72928
13587669c584a0
14270d1231a10c
15128cad72c735
hex939a70b7db0

10143220334000 has 160 divisors (see below), whose sum is σ = 26426740913664. Its totient is φ = 3743232998400.

The previous prime is 10143220333973. The next prime is 10143220334003. The reversal of 10143220334000 is 43302234101.

It is not an unprimeable number, because it can be changed into a prime (10143220334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50157089 + ... + 50358911.

Almost surely, 210143220334000 is an apocalyptic number.

10143220334000 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 10143220334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213370456832).

10143220334000 is an abundant number, since it is smaller than the sum of its proper divisors (16283520579664).

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

10143220334000 is a wasteful number, since it uses less digits than its factorization.

10143220334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203792 (or 203776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10143220334000 its reverse (43302234101), we get a palindrome (10186522568101).

The spelling of 10143220334000 in words is "ten trillion, one hundred forty-three billion, two hundred twenty million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 1933 2000 2600 3250 3866 5200 6500 7732 9665 13000 15464 19330 25129 26000 30928 38660 48325 50258 77320 96650 100516 125645 154640 193300 201032 201823 241625 251290 386600 402064 403646 483250 502580 628225 773200 807292 966500 1005160 1009115 1256450 1614584 1933000 2010320 2018230 2512900 2623699 3141125 3229168 3866000 4036460 5025800 5045575 5247398 6282250 8072920 10051600 10091150 10494796 12564500 13118495 16145840 20182300 20989592 25129000 25227875 26236990 40364600 41979184 50258000 50455750 52473980 65592475 80729200 100911500 104947960 131184950 201823000 209895920 262369900 327962375 390123859 403646000 524739800 655924750 780247718 1049479600 1311849500 1560495436 1950619295 2623699000 3120990872 3901238590 5071610167 5247398000 6241981744 7802477180 9753096475 10143220334 15604954360 19506192950 20286440668 25358050835 31209908720 39012385900 40572881336 48765482375 50716101670 78024771800 81145762672 97530964750 101432203340 126790254175 156049543600 195061929500 202864406680 253580508350 390123859000 405728813360 507161016700 633951270875 780247718000 1014322033400 1267902541750 2028644066800 2535805083500 5071610167000 10143220334000