Search a number
-
+
33154045133 = 1121744336383
BaseRepresentation
bin11110111000001000…
…101001010011001101
310011120120011222220112
4132320020221103031
51020344413421013
623121502125405
72252405506466
oct367010512315
9104516158815
1033154045133
1113073659900
126513280865
1331849637b1
1418672add6d
15ce099aba8
hex7b82294cd

33154045133 has 24 divisors (see below), whose sum is σ = 38673863424. Its totient is φ = 28302285440.

The previous prime is 33154045109. The next prime is 33154045151.

33154045133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33154045133 - 26 = 33154045069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33154045133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33154045033) 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 23 ways as a sum of consecutive naturals, for example, 893060 + ... + 929442.

It is an arithmetic number, because the mean of its divisors is an integer number (1611410976).

Almost surely, 233154045133 is an apocalyptic number.

It is an amenable number.

33154045133 is a deficient number, since it is larger than the sum of its proper divisors (5519818291).

33154045133 is a wasteful number, since it uses less digits than its factorization.

33154045133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36865 (or 36854 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 331540 and 45133, that added together give a palindrome (376673).

The spelling of 33154045133 in words is "thirty-three billion, one hundred fifty-four million, forty-five thousand, one hundred thirty-three".

Divisors: 1 11 17 121 187 443 2057 4873 7531 36383 53603 82841 400213 618511 911251 4402343 6803621 16117669 74839831 177294359 274000373 1950237949 3014004103 33154045133