Search a number
-
+
31311301300101 = 323479033477789
BaseRepresentation
bin1110001111010001110101…
…11111011100111110000101
311002212022221102102201222200
413013220322333130332011
513101001021113100401
6150332114020545113
76411111143466444
oct707507277347605
9132768842381880
1031311301300101
119a82059333289
12361840b552199
1314618489c57c4
147a3691836d5b
1539472ae57686
hex1c7a3afdcf85

31311301300101 has 6 divisors (see below), whose sum is σ = 45227435211270. Its totient is φ = 20874200866728.

The previous prime is 31311301300067. The next prime is 31311301300171. The reversal of 31311301300101 is 10100310311313.

31311301300101 is a `hidden beast` number, since 3 + 131 + 130 + 1 + 300 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20351593103076 + 10959708197025 = 4511274^2 + 3310545^2 .

It is not a de Polignac number, because 31311301300101 - 227 = 31311167082373 is a prime.

It is a super-2 number, since 2×313113013001012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311301300171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1739516738886 + ... + 1739516738903.

It is an arithmetic number, because the mean of its divisors is an integer number (7537905868545).

Almost surely, 231311301300101 is an apocalyptic number.

It is an amenable number.

31311301300101 is a deficient number, since it is larger than the sum of its proper divisors (13916133911169).

31311301300101 is a wasteful number, since it uses less digits than its factorization.

31311301300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479033477795 (or 3479033477792 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31311301300101 its reverse (10100310311313), we get a palindrome (41411611611414).

The spelling of 31311301300101 in words is "thirty-one trillion, three hundred eleven billion, three hundred one million, three hundred thousand, one hundred one".

Divisors: 1 3 9 3479033477789 10437100433367 31311301300101