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3119130084 = 2237219127773
BaseRepresentation
bin1011100111101010…
…0010010111100100
322001101012020002110
42321322202113210
522341444130314
61233301441020
7140203111500
oct27172422744
98041166073
103119130084
111360738664
12730710170
133a9295505
14218377300
15133c76a59
hexb9ea25e4

3119130084 has 72 divisors (see below), whose sum is σ = 8510842368. Its totient is φ = 886482240.

The previous prime is 3119130031. The next prime is 3119130089. The reversal of 3119130084 is 4800319113.

It is not an unprimeable number, because it can be changed into a prime (3119130089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98422 + ... + 126194.

It is an arithmetic number, because the mean of its divisors is an integer number (118206144).

Almost surely, 23119130084 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 3119130084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255421184).

3119130084 is an abundant number, since it is smaller than the sum of its proper divisors (5391712284).

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

3119130084 is a wasteful number, since it uses less digits than its factorization.

3119130084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27985 (or 27976 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 3119130084 is about 55849.1726348744. The cubic root of 3119130084 is about 1461.0928959667.

Adding to 3119130084 its reverse (4800319113), we get a palindrome (7919449197).

The spelling of 3119130084 in words is "three billion, one hundred nineteen million, one hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 382 573 588 764 1146 1337 2292 2674 4011 5348 8022 9359 16044 18718 27773 28077 37436 55546 56154 83319 111092 112308 166638 194411 333276 388822 583233 777644 1166466 1360877 2332932 2721754 4082631 5304643 5443508 8165262 10609286 15913929 16330524 21218572 31827858 37132501 63655716 74265002 111397503 148530004 222795006 259927507 445590012 519855014 779782521 1039710028 1559565042 3119130084