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33024413201 = 132296738301
BaseRepresentation
bin11110110000011010…
…001000111000010001
310011020112021000022212
4132300122020320101
51020113222210301
623100551441505
72246242611023
oct366032107021
9104215230285
1033024413201
111300746947a
126497986295
133163b46700
141853da8013
15cd43e14bb
hex7b0688e11

33024413201 has 12 divisors (see below), whose sum is σ = 36993277980. Its totient is φ = 29432894400.

The previous prime is 33024413137. The next prime is 33024413239. The reversal of 33024413201 is 10231442033.

It can be written as a sum of positive squares in 6 ways, for example, as 15869700625 + 17154712576 = 125975^2 + 130976^2 .

It is not a de Polignac number, because 33024413201 - 26 = 33024413137 is a prime.

It is a super-2 number, since 2×330244132012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33024413701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3364250 + ... + 3374051.

It is an arithmetic number, because the mean of its divisors is an integer number (3082773165).

Almost surely, 233024413201 is an apocalyptic number.

It is an amenable number.

33024413201 is a deficient number, since it is larger than the sum of its proper divisors (3968864779).

33024413201 is a wasteful number, since it uses less digits than its factorization.

33024413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738356 (or 6738343 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 33024413201 its reverse (10231442033), we get a palindrome (43255855234).

The spelling of 33024413201 in words is "thirty-three billion, twenty-four million, four hundred thirteen thousand, two hundred one".

Divisors: 1 13 29 169 377 4901 6738301 87597913 195410729 1138772869 2540339477 33024413201