Search a number
-
+
33122001033 = 351112391321
BaseRepresentation
bin11110110110001110…
…011010000010001001
310011111022212222200000
4132312032122002021
51020313213013113
623114355233213
72251536235452
oct366616320211
9104438788600
1033122001033
1113057562680
1265045a8809
13317b1242a4
141862d2c129
15cdcc6b373
hex7b639a089

33122001033 has 24 divisors (see below), whose sum is σ = 54125294496. Its totient is φ = 20073938400.

The previous prime is 33122000987. The next prime is 33122001067. The reversal of 33122001033 is 33010022133.

It is not a de Polignac number, because 33122001033 - 217 = 33121869961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33122000997 and 33122001015.

It is not an unprimeable number, because it can be changed into a prime (33122001083) 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, 6192988 + ... + 6198333.

It is an arithmetic number, because the mean of its divisors is an integer number (2255220604).

Almost surely, 233122001033 is an apocalyptic number.

33122001033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33122001033 is a deficient number, since it is larger than the sum of its proper divisors (21003293463).

33122001033 is a wasteful number, since it uses less digits than its factorization.

33122001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391347 (or 12391335 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33122001033 its reverse (33010022133), we get a palindrome (66132023166).

The spelling of 33122001033 in words is "thirty-three billion, one hundred twenty-two million, one thousand, thirty-three".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 12391321 37173963 111521889 136304531 334565667 408913593 1003697001 1226740779 3011091003 3680222337 11040667011 33122001033