Search a number
-
+
33311331031 = 11194315723609
BaseRepresentation
bin11111000001100000…
…101001001011010111
310011222112010221121011
4133001200221023113
51021210200043111
623145241233051
72256325433116
oct370140511327
9104875127534
1033311331031
1113144418050
126557a92787
1331ab413a84
141880133c7d
15cee6b9021
hex7c18292d7

33311331031 has 32 divisors (see below), whose sum is σ = 39392812800. Its totient is φ = 27842330880.

The previous prime is 33311330947. The next prime is 33311331041. The reversal of 33311331031 is 13013311333.

It is a cyclic number.

It is not a de Polignac number, because 33311331031 - 221 = 33309233879 is a prime.

It is a super-2 number, since 2×333113310312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33311330993 and 33311331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33311331041) 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 31 ways as a sum of consecutive naturals, for example, 1399155 + ... + 1422763.

It is an arithmetic number, because the mean of its divisors is an integer number (1231025400).

Almost surely, 233311331031 is an apocalyptic number.

33311331031 is a deficient number, since it is larger than the sum of its proper divisors (6081481769).

33311331031 is a wasteful number, since it uses less digits than its factorization.

33311331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 33311331031 its reverse (13013311333), we get a palindrome (46324642364).

The spelling of 33311331031 in words is "thirty-three billion, three hundred eleven million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 11 19 43 157 209 473 817 1727 2983 6751 8987 23609 32813 74261 128269 259699 448571 1015187 1410959 3706613 4934281 11167057 19288553 40772743 70425647 159384359 212174083 774682117 1753227949 3028302821 33311331031