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3101441024 = 21011225031
BaseRepresentation
bin1011100011011100…
…0011110000000000
322000010220112021002
42320313003300000
522322432103044
61231430351132
7136566546053
oct27067036000
98003815232
103101441024
111351756600
127267bb4a8
133a5710c06
14215c90a9a
1513243074e
hexb8dc3c00

3101441024 has 66 divisors (see below), whose sum is σ = 6814987032. Its totient is φ = 1409689600.

The previous prime is 3101440981. The next prime is 3101441059. The reversal of 3101441024 is 4201441013.

It is a junction number, because it is equal to n+sod(n) for n = 3101440987 and 3101441005.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 111389 + ... + 136419.

Almost surely, 23101441024 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 3101441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407493516).

3101441024 is an abundant number, since it is smaller than the sum of its proper divisors (3713546008).

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

3101441024 is a wasteful number, since it uses less digits than its factorization.

3101441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25073 (or 25044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3101441024 is about 55690.5829023184. The cubic root of 3101441024 is about 1458.3256316575.

Adding to 3101441024 its reverse (4201441013), we get a palindrome (7302882037).

The spelling of 3101441024 in words is "three billion, one hundred one million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 11264 15488 25031 30976 50062 61952 100124 123904 200248 275341 400496 550682 800992 1101364 1601984 2202728 3028751 3203968 4405456 6057502 6407936 8810912 12115004 12815872 17621824 24230008 25631744 35243648 48460016 70487296 96920032 140974592 193840064 281949184 387680128 775360256 1550720512 3101441024