Search a number
-
+
33021112050 = 236525317093
BaseRepresentation
bin11110110000001101…
…100010111011110010
310011020022001022000000
4132300031202323302
51020111401041200
623100353010430
72246202551463
oct366015427362
9104208038000
1033021112050
1113005614253
126496853a16
13316325bc74
141853788d6a
15cd3e8d300
hex7b0362ef2

33021112050 has 168 divisors, whose sum is σ = 93829752324. Its totient is φ = 8638980480.

The previous prime is 33021112049. The next prime is 33021112051. The reversal of 33021112050 is 5021112033.

33021112050 is a `hidden beast` number, since 330 + 211 + 120 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (33021112049) and next prime (33021112051).

It can be written as a sum of positive squares in 6 ways, for example, as 16427292561 + 16593819489 = 128169^2 + 128817^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33021112051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1923304 + ... + 1940396.

Almost surely, 233021112050 is an apocalyptic number.

33021112050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33021112050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46914876162).

33021112050 is an abundant number, since it is smaller than the sum of its proper divisors (60808640274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33021112050 is a wasteful number, since it uses less digits than its factorization.

33021112050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17176 (or 17156 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 33021112050 its reverse (5021112033), we get a palindrome (38042224083).

The spelling of 33021112050 in words is "thirty-three billion, twenty-one million, one hundred twelve thousand, fifty".