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1121010032 = 24194578069
BaseRepresentation
bin100001011010001…
…0100000101110000
32220010101012200002
41002310110011300
54243434310112
6303123045132
736531266552
oct10264240560
92803335602
101121010032
1152586547a
122735107a8
1314b328a5c
14a8c4b4d2
15686361c2
hex42d14170

1121010032 has 40 divisors (see below), whose sum is σ = 2291557200. Its totient is φ = 529777152.

The previous prime is 1121009999. The next prime is 1121010061. The reversal of 1121010032 is 2300101211.

It is a junction number, because it is equal to n+sod(n) for n = 1121009995 and 1121010022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134894 + ... + 142962.

It is an arithmetic number, because the mean of its divisors is an integer number (57288930).

Almost surely, 21121010032 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 1121010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145778600).

1121010032 is an abundant number, since it is smaller than the sum of its proper divisors (1170547168).

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

1121010032 is a wasteful number, since it uses less digits than its factorization.

1121010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1121010032 is about 33481.4879000322. The cubic root of 1121010032 is about 1038.8109042657.

Adding to 1121010032 its reverse (2300101211), we get a palindrome (3421111243).

The spelling of 1121010032 in words is "one billion, one hundred twenty-one million, ten thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 457 914 1828 3656 7312 8069 8683 16138 17366 32276 34732 64552 69464 129104 138928 153311 306622 613244 1226488 2452976 3687533 7375066 14750132 29500264 59000528 70063127 140126254 280252508 560505016 1121010032