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3123055012 = 2271125091811
BaseRepresentation
bin1011101000100110…
…0000100110100100
322001122120122002011
42322021200212210
522344000230022
61233521524004
7140251346440
oct27211404644
98048518064
103123055012
111362979500
12731aa3604
133aa03ab5c
14218ab9820
1513429e977
hexba2609a4

3123055012 has 72 divisors (see below), whose sum is σ = 6882845760. Its totient is φ = 1213713600.

The previous prime is 3123055007. The next prime is 3123055073. The reversal of 3123055012 is 2105503213.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 1723587 + ... + 1725397.

It is an arithmetic number, because the mean of its divisors is an integer number (95595080).

Almost surely, 23123055012 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 3123055012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441422880).

3123055012 is an abundant number, since it is smaller than the sum of its proper divisors (3759790748).

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

3123055012 is a wasteful number, since it uses less digits than its factorization.

3123055012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 3123055012 is about 55884.3002282394. The cubic root of 3123055012 is about 1461.7054899217.

Adding to 3123055012 its reverse (2105503213), we get a palindrome (5228558225).

The spelling of 3123055012 in words is "three billion, one hundred twenty-three million, fifty-five thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 509 847 1018 1694 1811 2036 3388 3563 3622 5599 7126 7244 11198 12677 14252 19921 22396 25354 39193 39842 50708 61589 78386 79684 123178 139447 156772 219131 246356 278894 431123 438262 557788 862246 876524 921799 1533917 1724492 1843598 3067834 3687196 6135668 6452593 10139789 12905186 20279578 25810372 40559156 70978523 111537679 141957046 223075358 283914092 446150716 780763753 1561527506 3123055012