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3120102112 = 25295775827
BaseRepresentation
bin1011100111111000…
…1111101011100000
322001110000121110111
42321332033223200
522342221231422
61233334341104
7140214300421
oct27176175340
98043017414
103120102112
111361241996
12730aba794
133a9545a8a
1421854b648
15133db9a77
hexb9f8fae0

3120102112 has 48 divisors (see below), whose sum is σ = 6366623760. Its totient is φ = 1503387648.

The previous prime is 3120102109. The next prime is 3120102121. The reversal of 3120102112 is 2112010213.

It is a junction number, because it is equal to n+sod(n) for n = 3120102092 and 3120102101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532543 + ... + 538369.

It is an arithmetic number, because the mean of its divisors is an integer number (132637995).

Almost surely, 23120102112 is an apocalyptic number.

3120102112 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 3120102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183311880).

3120102112 is an abundant number, since it is smaller than the sum of its proper divisors (3246521648).

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

3120102112 is a wasteful number, since it uses less digits than its factorization.

3120102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 3120102112 is about 55857.8742166223. The cubic root of 3120102112 is about 1461.2446557697.

Adding to 3120102112 its reverse (2112010213), we get a palindrome (5232112325).

It can be divided in two parts, 312010211 and 2, that added together give a palindrome (312010213).

The spelling of 3120102112 in words is "three billion, one hundred twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 577 928 1154 2308 4616 5827 9232 11654 16733 18464 23308 33466 46616 66932 93232 133864 168983 186464 267728 337966 535456 675932 1351864 2703728 3362179 5407456 6724358 13448716 26897432 53794864 97503191 107589728 195006382 390012764 780025528 1560051056 3120102112