Search a number
-
+
311212032131 = 71113310901131
BaseRepresentation
bin1001000011101011010…
…11101100000010000011
31002202021220100021101102
410201311223230002003
520044330240012011
6354545133525015
731325060424560
oct4416553540203
91082256307342
10311212032131
1110aa91095a60
125039434376b
1323468964050
14110c4247867
158166b8273b
hex4875aec083

311212032131 has 16 divisors (see below), whose sum is σ = 417851121408. Its totient is φ = 223848813600.

The previous prime is 311212032127. The next prime is 311212032133. The reversal of 311212032131 is 131230212113.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 311212032131 - 22 = 311212032127 is a prime.

It is a super-2 number, since 2×3112120321312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311212032133) 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 15 ways as a sum of consecutive naturals, for example, 155449565 + ... + 155451566.

It is an arithmetic number, because the mean of its divisors is an integer number (26115695088).

Almost surely, 2311212032131 is an apocalyptic number.

311212032131 is a deficient number, since it is larger than the sum of its proper divisors (106639089277).

311212032131 is a wasteful number, since it uses less digits than its factorization.

311212032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310901162.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 311212032131 its reverse (131230212113), we get a palindrome (442442244244).

The spelling of 311212032131 in words is "three hundred eleven billion, two hundred twelve million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 310901131 2176307917 3419912441 4041714703 23939387087 28292002921 44458861733 311212032131