Search a number
-
+
311310000001 = 71113353881017
BaseRepresentation
bin1001000011110111000…
…01011001111110000001
31002202112201200120001001
410201323201121332001
520100030330000001
6355002553412001
731330360224310
oct4417341317601
91082481616031
10311310000001
11110031419740
125040110a001
13234830458c0
14110d326a277
158170585001
hex487b859f81

311310000001 has 32 divisors (see below), whose sum is σ = 419167219968. Its totient is φ = 223284695040.

The previous prime is 311309999999. The next prime is 311310000013. The reversal of 311310000001 is 100000013113.

It is not a de Polignac number, because 311310000001 - 21 = 311309999999 is a prime.

It is a super-2 number, since 2×3113100000012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311310001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87156 + ... + 793861.

It is an arithmetic number, because the mean of its divisors is an integer number (13098975624).

Almost surely, 2311310000001 is an apocalyptic number.

It is an amenable number.

311310000001 is a deficient number, since it is larger than the sum of its proper divisors (107857219967).

311310000001 is a wasteful number, since it uses less digits than its factorization.

311310000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881401.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 311310000001 its reverse (100000013113), we get a palindrome (411310013114).

It can be divided in two parts, 3113 and 10000001, that multiplied together give a palindrome (31130003113).

The spelling of 311310000001 in words is "three hundred eleven billion, three hundred ten million, one", and thus it is an aban number.

Divisors: 1 7 11 13 77 91 143 353 1001 2471 3883 4589 27181 32123 50479 353353 881017 6167119 9691187 11453221 67838309 80172547 125985431 310999001 881898017 2176993007 3420989011 4042987013 23946923077 28300909091 44472857143 311310000001