Search a number
-
+
33214122141233 = 1115162693189737
BaseRepresentation
bin1111000110101010000111…
…11100111010011000110001
311100121020110021112211021112
413203111003330322120301
513323140010232004413
6154350205043203105
76665432623665605
oct743250374723061
9140536407484245
1033214122141233
11a646037070730
123885152376495
13156c102c938b7
1482b801b53505
153c8e976a02a8
hex1e3543f3a631

33214122141233 has 16 divisors (see below), whose sum is σ = 36479374842240. Its totient is φ = 29989897872000.

The previous prime is 33214122141209. The next prime is 33214122141251.

33214122141233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33214122141233 - 218 = 33214121879089 is a prime.

It is a super-2 number, since 2×332141221412332 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33214122141233.

It is not an unprimeable number, because it can be changed into a prime (33214122140233) 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, 8817941 + ... + 12007677.

It is an arithmetic number, because the mean of its divisors is an integer number (2279960927640).

Almost surely, 233214122141233 is an apocalyptic number.

It is an amenable number.

33214122141233 is a deficient number, since it is larger than the sum of its proper divisors (3265252701007).

33214122141233 is a wasteful number, since it uses less digits than its factorization.

33214122141233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196168.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 3321412 and 2141233, that added together give a palindrome (5462645).

The spelling of 33214122141233 in words is "thirty-three trillion, two hundred fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, two hundred thirty-three".

Divisors: 1 11 151 1661 6269 68959 946619 3189737 10412809 35087107 481650287 5298153157 19996461253 219961073783 3019465649203 33214122141233