Search a number
-
+
313210011000131 = 73971940420927
BaseRepresentation
bin100011100110111001110001…
…1011100100001110101000011
31112001222120210012012022002122
41013031303203130201311003
5312023113100304001011
63030050405341234455
7122654451024344000
oct10715634334416503
91461876705168078
10313210011000131
119088668a928a43
122b166246b62a2b
131059c76744b6cb
14574b6343268a7
1526324a029c3db
hex11cdce3721d43

313210011000131 has 16 divisors (see below), whose sum is σ = 365635656806400. Its totient is φ = 268189239676680.

The previous prime is 313210011000119. The next prime is 313210011000149. The reversal of 313210011000131 is 131000110012313.

It is not a de Polignac number, because 313210011000131 - 242 = 308811964489027 is a prime.

It is a super-2 number, since 2×3132100110001312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313210011000331) 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, 469877411 + ... + 470543516.

It is an arithmetic number, because the mean of its divisors is an integer number (22852228550400).

Almost surely, 2313210011000131 is an apocalyptic number.

313210011000131 is a deficient number, since it is larger than the sum of its proper divisors (52425645806269).

313210011000131 is an frugal number, since it uses more digits than its factorization.

313210011000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940421919 (or 940421905 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 313210011000131 its reverse (131000110012313), we get a palindrome (444210121012444).

The spelling of 313210011000131 in words is "three hundred thirteen trillion, two hundred ten billion, eleven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 49 343 971 6797 47579 333053 940420927 6582946489 46080625423 322564377961 913148720117 6392041040819 44744287285733 313210011000131