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201341020032 = 2733107544471
BaseRepresentation
bin1011101110000011011…
…1000010011110000000
3201020200210122120011000
42323200313002132000
511244321300120112
6232254512452000
720355263301255
oct2734067023600
9636623576130
10201341020032
117842a836419
123303084a000
1315ca90ba059
149a6023d42c
1553860687dc
hex2ee0dc2780

201341020032 has 128 divisors (see below), whose sum is σ = 599790355200. Its totient is φ = 66486320640.

The previous prime is 201341020009. The next prime is 201341020051. The reversal of 201341020032 is 230020143102.

201341020032 is a `hidden beast` number, since 20 + 1 + 3 + 410 + 200 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201341019987 and 201341020014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97557 + ... + 642027.

It is an arithmetic number, because the mean of its divisors is an integer number (4685862150).

Almost surely, 2201341020032 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 201341020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299895177600).

201341020032 is an abundant number, since it is smaller than the sum of its proper divisors (398449335168).

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

201341020032 is a wasteful number, since it uses less digits than its factorization.

201341020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544601 (or 544583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201341020032 its reverse (230020143102), we get a palindrome (431361163134).

The spelling of 201341020032 in words is "two hundred one billion, three hundred forty-one million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 128 144 192 214 216 288 321 384 428 432 576 642 856 864 963 1152 1284 1712 1728 1926 2568 2889 3424 3456 3852 5136 5778 6848 7704 10272 11556 13696 15408 20544 23112 30816 41088 46224 61632 92448 123264 184896 369792 544471 1088942 1633413 2177884 3266826 4355768 4900239 6533652 8711536 9800478 13067304 14700717 17423072 19600956 26134608 29401434 34846144 39201912 52269216 58258397 58802868 69692288 78403824 104538432 116516794 117605736 156807648 174775191 209076864 233033588 235211472 313615296 349550382 466067176 470422944 524325573 627230592 699100764 932134352 940845888 1048651146 1398201528 1572976719 1864268704 1881691776 2097302292 2796403056 3145953438 3728537408 4194604584 5592806112 6291906876 7457074816 8389209168 11185612224 12583813752 16778418336 22371224448 25167627504 33556836672 50335255008 67113673344 100670510016 201341020032