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3113020032 = 2738839181
BaseRepresentation
bin1011100110001100…
…1110101010000000
322000221200210200020
42321203032222000
522333413120112
61232522453440
7140100143103
oct27143165200
98027623606
103113020032
111358245031
1272a664280
133a7c363b5
1421762673a
1513346b48c
hexb98cea80

3113020032 has 64 divisors (see below), whose sum is σ = 8279225760. Its totient is φ = 1036385280.

The previous prime is 3113020007. The next prime is 3113020037. The reversal of 3113020032 is 2300203113.

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 = 3113019993 and 3113020020.

It is not an unprimeable number, because it can be changed into a prime (3113020037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334482 + ... + 343662.

Almost surely, 23113020032 is an apocalyptic number.

3113020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139612880).

3113020032 is an abundant number, since it is smaller than the sum of its proper divisors (5166205728).

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

3113020032 is an equidigital number, since it uses as much as digits as its factorization.

3113020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3113020032 is about 55794.4444546229. Note that the first 4 decimals coincide. The cubic root of 3113020032 is about 1460.1382292343.

Adding to 3113020032 its reverse (2300203113), we get a palindrome (5413223145).

The spelling of 3113020032 in words is "three billion, one hundred thirteen million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 883 1766 2649 3532 5298 7064 9181 10596 14128 18362 21192 27543 28256 36724 42384 55086 56512 73448 84768 110172 113024 146896 169536 220344 293792 339072 440688 587584 881376 1175168 1762752 3525504 8106823 16213646 24320469 32427292 48640938 64854584 97281876 129709168 194563752 259418336 389127504 518836672 778255008 1037673344 1556510016 3113020032