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121020032 = 277314357
BaseRepresentation
bin1110011011010…
…01111010000000
322102201110021102
413031221322000
5221440120112
620001513532
72666440040
oct715517200
9272643242
10121020032
1162349161
12346428a8
131c0c32b3
1412103720
15a957bc2
hex7369e80

121020032 has 64 divisors (see below), whose sum is σ = 284490240. Its totient is φ = 50181120.

The previous prime is 121020019. The next prime is 121020061. The reversal of 121020032 is 230020121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 121019995 and 121020022.

It is an unprimeable number.

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, 25598 + ... + 29954.

It is an arithmetic number, because the mean of its divisors is an integer number (4445160).

Almost surely, 2121020032 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 121020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142245120).

121020032 is an abundant number, since it is smaller than the sum of its proper divisors (163470208).

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

121020032 is an equidigital number, since it uses as much as digits as its factorization.

121020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 121020032 is about 11000.9105077716. The cubic root of 121020032 is about 494.6360375911.

Adding to 121020032 its reverse (230020121), we get a palindrome (351040153).

The spelling of 121020032 in words is "one hundred twenty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 4357 6944 8714 13888 17428 27776 30499 34856 60998 69712 121996 135067 139424 243992 270134 278848 487984 540268 557696 945469 975968 1080536 1890938 1951936 2161072 3781876 3903872 4322144 7563752 8644288 15127504 17288576 30255008 60510016 121020032