Search a number
-
+
201000010201984 = 2771036833188821
BaseRepresentation
bin101101101100111011110110…
…001101010011101110000000
3222100200102011022020210112201
4231230323312031103232000
5202321141010102430414
61551254044022402544
760223525425634120
oct5554736615235600
9870612138223481
10201000010201984
1159054697777134
121a663194890454
1388202b16ba1a6
14378c649564c80
15183871166d574
hexb6cef6353b80

201000010201984 has 128 divisors (see below), whose sum is σ = 462753685255680. Its totient is φ = 85181596600320.

The previous prime is 201000010201967. The next prime is 201000010201997. The reversal of 201000010201984 is 489102010000102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2010000102019843 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61438294 + ... + 64627114.

It is an arithmetic number, because the mean of its divisors is an integer number (3615263166060).

Almost surely, 2201000010201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000010201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231376842627840).

201000010201984 is an abundant number, since it is smaller than the sum of its proper divisors (261753675053696).

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

201000010201984 is a wasteful number, since it uses less digits than its factorization.

201000010201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189628 (or 3189616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 201000010201984 in words is "two hundred one trillion, ten million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 683 721 824 896 1366 1442 1648 2732 2884 3296 4781 5464 5768 6592 9562 10928 11536 13184 19124 21856 23072 38248 43712 46144 70349 76496 87424 92288 140698 152992 281396 305984 492443 562792 611968 984886 1125584 1969772 2251168 3188821 3939544 4502336 6377642 7879088 9004672 12755284 15758176 22321747 25510568 31516352 44643494 51021136 63032704 89286988 102042272 178573976 204084544 328448563 357147952 408169088 656897126 714295904 1313794252 1428591808 2177964743 2299139941 2627588504 2857183616 4355929486 4598279882 5255177008 8711858972 9196559764 10510354016 15245753201 17423717944 18393119528 21020708032 30491506402 34847435888 36786239056 42041416064 60983012804 69694871776 73572478112 121966025608 139389743552 147144956224 224330368529 243932051216 278779487104 294289912448 448660737058 487864102432 897321474116 975728204864 1570312579703 1794642948232 1951456409728 3140625159406 3589285896464 6281250318812 7178571792928 12562500637624 14357143585856 25125001275248 28714287171712 50250002550496 100500005100992 201000010201984