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10031313201 = 3713379291069
BaseRepresentation
bin10010101011110100…
…11011000100110001
3221220002200111202120
421111322123010301
5131021004010301
64335221504453
7503404520040
oct112572330461
927802614676
1010031313201
114288462098
121b3b572129
13c3b3320b0
146b2394557
153da9e5e36
hex255e9b131

10031313201 has 64 divisors (see below), whose sum is σ = 16940582400. Its totient is φ = 5137883136.

The previous prime is 10031313197. The next prime is 10031313203. The reversal of 10031313201 is 10231313001.

10031313201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10031313201 - 22 = 10031313197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10031313203) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9383295 + ... + 9384363.

It is an arithmetic number, because the mean of its divisors is an integer number (264696600).

Almost surely, 210031313201 is an apocalyptic number.

It is an amenable number.

10031313201 is a deficient number, since it is larger than the sum of its proper divisors (6909269199).

10031313201 is a wasteful number, since it uses less digits than its factorization.

10031313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10031313201 its reverse (10231313001), we get a palindrome (20262626202).

The spelling of 10031313201 in words is "ten billion, thirty-one million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 929 1069 1443 2787 3207 3367 6503 7483 10101 12077 13897 19509 22449 34373 36231 39553 41691 84539 97279 103119 118659 240611 253617 276871 291837 446849 514189 721833 830613 993101 1340547 1542567 2979303 3127943 3599323 6951707 9383829 10797969 12910313 20855121 36744737 38730939 90372191 110234211 257213159 271116573 477681581 771639477 1433044743 3343771067 10031313201