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201000221000 = 23531953199603
BaseRepresentation
bin1011101100110010001…
…0111111100101001000
3201012211001101011202122
42323030202333211020
511243122024033000
6232201020150412
720343654455135
oct2731442774510
9635731334678
10201000221000
1178275426027
1232b56698408
1315c53605b17
149a2ac8958c
15536619b085
hex2ecc8bf948

201000221000 has 128 divisors (see below), whose sum is σ = 504439228800. Its totient is φ = 74730988800.

The previous prime is 201000220999. The next prime is 201000221027. The reversal of 201000221000 is 122000102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907199 + ... + 1106801.

It is an arithmetic number, because the mean of its divisors is an integer number (3940931475).

Almost surely, 2201000221000 is an apocalyptic number.

201000221000 is a gapful number since it is divisible by the number (20) 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 201000221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252219614400).

201000221000 is an abundant number, since it is smaller than the sum of its proper divisors (303439007800).

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

201000221000 is a wasteful number, since it uses less digits than its factorization.

201000221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199696 (or 199682 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 201000221000 its reverse (122000102), we get a palindrome (201122221102).

The spelling of 201000221000 in words is "two hundred one billion, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 53 76 95 100 106 125 152 190 200 212 250 265 380 424 475 500 530 760 950 1000 1007 1060 1325 1900 2014 2120 2375 2650 3800 4028 4750 5035 5300 6625 8056 9500 10070 10600 13250 19000 20140 25175 26500 40280 50350 53000 100700 125875 199603 201400 251750 399206 503500 798412 998015 1007000 1596824 1996030 3792457 3992060 4990075 7584914 7984120 9980150 10578959 15169828 18962285 19960300 21157918 24950375 30339656 37924570 39920600 42315836 49900750 52894795 75849140 84631672 94811425 99801500 105789590 151698280 189622850 199603000 201000221 211579180 264473975 379245700 402000442 423158360 474057125 528947950 758491400 804000884 948114250 1005001105 1057895900 1322369875 1608001768 1896228500 2010002210 2115791800 2644739750 3792457000 4020004420 5025005525 5289479500 8040008840 10050011050 10578959000 20100022100 25125027625 40200044200 50250055250 100500110500 201000221000