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3124131104 = 25612336869
BaseRepresentation
bin1011101000110110…
…0111010100100000
322001201121022012102
42322031213110200
522344234143404
61234000545532
7140263450643
oct27215472440
98051538172
103124131104
111363543a36
127323222a8
133aa3268b3
14218cb9a5a
1513441371e
hexba367520

3124131104 has 48 divisors (see below), whose sum is σ = 6279207480. Its totient is φ = 1529640960.

The previous prime is 3124131103. The next prime is 3124131139. The reversal of 3124131104 is 4011314213.

It can be written as a sum of positive squares in 4 ways, for example, as 438818704 + 2685312400 = 20948^2 + 51820^2 .

It is not an unprimeable number, because it can be changed into a prime (3124131103) 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, 451382 + ... + 458250.

Almost surely, 23124131104 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 3124131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139603740).

3124131104 is an abundant number, since it is smaller than the sum of its proper divisors (3155076376).

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

3124131104 is a wasteful number, since it uses less digits than its factorization.

3124131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3124131104 is about 55893.9272551142. The cubic root of 3124131104 is about 1461.8733542890.

Adding to 3124131104 its reverse (4011314213), we get a palindrome (7135445317).

The spelling of 3124131104 in words is "three billion, one hundred twenty-four million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 122 233 244 466 488 932 976 1864 1952 3728 6869 7456 13738 14213 27476 28426 54952 56852 109904 113704 219808 227408 419009 454816 838018 1600477 1676036 3200954 3352072 6401908 6704144 12803816 13408288 25607632 51215264 97629097 195258194 390516388 781032776 1562065552 3124131104