Search a number
-
+
33210134412 = 223713711014241
BaseRepresentation
bin11110111011011110…
…100110111110001100
310011201110201121221020
4132323132212332030
51021003243300122
623131224234140
72253656325210
oct367336467614
9104643647836
1033210134412
11130a2289584
12652a00b950
133193471710
141870910940
15ce5879c5c
hex7bb7a6f8c

33210134412 has 192 divisors, whose sum is σ = 97696585728. Its totient is φ = 8547840000.

The previous prime is 33210134387. The next prime is 33210134417. The reversal of 33210134412 is 21443101233.

It is a happy number.

It is a super-2 number, since 2×332101344122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33210134417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7828612 + ... + 7832852.

It is an arithmetic number, because the mean of its divisors is an integer number (508836384).

Almost surely, 233210134412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33210134412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48848292864).

33210134412 is an abundant number, since it is smaller than the sum of its proper divisors (64486451316).

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

33210134412 is a wasteful number, since it uses less digits than its factorization.

33210134412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33210134412 its reverse (21443101233), we get a palindrome (54653235645).

The spelling of 33210134412 in words is "thirty-three billion, two hundred ten million, one hundred thirty-four thousand, four hundred twelve".