Search a number
-
+
332100112 = 24291634391
BaseRepresentation
bin10011110010110…
…111001000010000
3212010220102201011
4103302313020100
51140004200422
652542020304
711141542621
oct2362671020
9763812634
10332100112
11160509803
1293277694
1353a59956
143216ba48
151e250077
hex13cb7210

332100112 has 40 divisors (see below), whose sum is σ = 669867840. Its totient is φ = 159304320.

The previous prime is 332100101. The next prime is 332100113. The reversal of 332100112 is 211001233.

332100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321001122 = 220580968780825088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332100092 and 332100101.

It is not an unprimeable number, because it can be changed into a prime (332100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73437 + ... + 77827.

It is an arithmetic number, because the mean of its divisors is an integer number (16746696).

Almost surely, 2332100112 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 332100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334933920).

332100112 is an abundant number, since it is smaller than the sum of its proper divisors (337767728).

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

332100112 is a wasteful number, since it uses less digits than its factorization.

332100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 332100112 is about 18223.6141311212. The cubic root of 332100112 is about 692.5051497747.

Adding to 332100112 its reverse (211001233), we get a palindrome (543101345).

The spelling of 332100112 in words is "three hundred thirty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 163 232 326 464 652 1304 2608 4391 4727 8782 9454 17564 18908 35128 37816 70256 75632 127339 254678 509356 715733 1018712 1431466 2037424 2862932 5725864 11451728 20756257 41512514 83025028 166050056 332100112