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3122213130 = 232534691257
BaseRepresentation
bin1011101000011001…
…0011000100001010
322001120222212020100
42322012103010022
522343241310010
61233451510230
7140241242121
oct27206230412
98046885210
103122213130
111362453a33
12731758376
133a9b048ba
1421893aab8
151341852c0
hexba19310a

3122213130 has 24 divisors (see below), whose sum is σ = 8117754372. Its totient is φ = 832590144.

The previous prime is 3122213123. The next prime is 3122213137. The reversal of 3122213130 is 313122213.

3122213130 is a `hidden beast` number, since 312 + 221 + 3 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (3122213123) and next prime (3122213137).

It can be written as a sum of positive squares in 2 ways, for example, as 2829495249 + 292717881 = 53193^2 + 17109^2 .

It is a super-3 number, since 3×31222131303 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3122213137) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17345539 + ... + 17345718.

Almost surely, 23122213130 is an apocalyptic number.

3122213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3122213130 is an abundant number, since it is smaller than the sum of its proper divisors (4995541242).

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

3122213130 is a wasteful number, since it uses less digits than its factorization.

3122213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34691270 (or 34691267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3122213130 is about 55876.7673545992. The cubic root of 3122213130 is about 1461.5741341254.

Adding to 3122213130 its reverse (313122213), we get a palindrome (3435335343).

The spelling of 3122213130 in words is "three billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 34691257 69382514 104073771 173456285 208147542 312221313 346912570 520368855 624442626 1040737710 1561106565 3122213130