Search a number
-
+
201201323440 = 245131063181997
BaseRepresentation
bin1011101101100010001…
…0001000110110110000
3201020100001210020110011
42323120202020312300
511244030014322230
6232233002344304
720351646013465
oct2733042106660
9636301706404
10201201323440
11783689a1297
1232bb1abb094
1315c86187b50
149a4987766c
155378b71e2a
hex2ed8888db0

201201323440 has 80 divisors (see below), whose sum is σ = 504253850688. Its totient is φ = 74219424768.

The previous prime is 201201323417. The next prime is 201201323483. The reversal of 201201323440 is 44323102102.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1014522 + ... + 1196518.

Almost surely, 2201201323440 is an apocalyptic number.

201201323440 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 201201323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252126925344).

201201323440 is an abundant number, since it is smaller than the sum of its proper divisors (303052527248).

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

201201323440 is a wasteful number, since it uses less digits than its factorization.

201201323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183086 (or 183080 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 201201323440 its reverse (44323102102), we get a palindrome (245524425542).

The spelling of 201201323440 in words is "two hundred one billion, two hundred one million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1063 2126 4252 5315 8504 10630 13819 17008 21260 27638 42520 55276 69095 85040 110552 138190 181997 221104 276380 363994 552760 727988 909985 1105520 1455976 1819970 2365961 2911952 3639940 4731922 7279880 9463844 11829805 14559760 18927688 23659610 37855376 47319220 94638440 189276880 193462811 386925622 773851244 967314055 1547702488 1934628110 2515016543 3095404976 3869256220 5030033086 7738512440 10060066172 12575082715 15477024880 20120132344 25150165430 40240264688 50300330860 100600661720 201201323440