Search a number
-
+
201001203031321 = 711217193461212281
BaseRepresentation
bin101101101100111100111101…
…010011100101110100011001
3222100200112020102202210210001
4231230330331103211310121
5202321200430434000241
61551254402233053001
760223600121545510
oct5554747523456431
9870615212683701
10201001203031321
115905514a025500
121a663468257161
138820441870874
14378c71db49677
15183878123e431
hexb6cf3d4e5d19

201001203031321 has 96 divisors (see below), whose sum is σ = 281503865583360. Its totient is φ = 139611631104000.

The previous prime is 201001203031249. The next prime is 201001203031351. The reversal of 201001203031321 is 123130302100102.

It is not a de Polignac number, because 201001203031321 - 215 = 201001202998553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (201001203031351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946757701 + ... + 946969981.

It is an arithmetic number, because the mean of its divisors is an integer number (2932331933160).

Almost surely, 2201001203031321 is an apocalyptic number.

It is an amenable number.

201001203031321 is a deficient number, since it is larger than the sum of its proper divisors (80502662552039).

201001203031321 is a wasteful number, since it uses less digits than its factorization.

201001203031321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215807 (or 215796 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 201001203031321 its reverse (123130302100102), we get a palindrome (324131505131423).

The spelling of 201001203031321 in words is "two hundred one trillion, one billion, two hundred three million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 17 19 77 119 121 133 187 209 323 847 1309 1463 2057 2261 2299 3461 3553 14399 16093 24227 24871 38071 39083 58837 65759 212281 266497 273581 411859 418781 460313 647207 723349 1117903 1485967 2335091 2931467 3608777 4033339 4530449 5063443 7119277 7825321 7956839 12296933 16345637 25261439 25686001 28233373 39696547 44366729 49834939 55697873 68566763 86078531 135266263 179802007 277875829 310567103 436662017 479967341 488034019 734704541 754234393 946863841 3056634119 3416238133 5142931787 5279640751 8081749951 8296578323 12489977197 13959386279 56572249657 58076048261 87429840379 88899249461 97715703953 137389749167 153553249069 237309566743 622294746227 961728244169 1074872743483 1511287240837 1661166967201 1689085739759 2610405234173 10579010685859 11823600178313 18272836639211 28714457575903 201001203031321