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201313001310 = 23525771260387
BaseRepresentation
bin1011101101111100110…
…0001001111101011110
3201020121211221001200120
42323133030021331132
511244242112020220
6232252032135410
720354503164111
oct2733714117536
9636554831616
10201313001310
1178415a39553
1233023397566
1315ca3359b25
149a5a628578
155383881a40
hex2edf309f5e

201313001310 has 32 divisors (see below), whose sum is σ = 483171806592. Its totient is φ = 53681177760.

The previous prime is 201313001303. The next prime is 201313001311. The reversal of 201313001310 is 13100313102.

201313001310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×2013130013105 (a number of 58 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201313001310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201313001311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642937 + ... + 903323.

It is an arithmetic number, because the mean of its divisors is an integer number (15099118956).

Almost surely, 2201313001310 is an apocalyptic number.

201313001310 is an abundant number, since it is smaller than the sum of its proper divisors (281858805282).

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

201313001310 is a wasteful number, since it uses less digits than its factorization.

201313001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286168.

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

Adding to 201313001310 its reverse (13100313102), we get a palindrome (214413314412).

The spelling of 201313001310 in words is "two hundred one billion, three hundred thirteen million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 25771 51542 77313 128855 154626 257710 260387 386565 520774 773130 781161 1301935 1562322 2603870 3905805 7811610 6710433377 13420866754 20131300131 33552166885 40262600262 67104333770 100656500655 201313001310