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1030112112 = 2431071671201
BaseRepresentation
bin111101011001100…
…100001101110000
32122210100010011110
4331121210031300
54102202041422
6250114513320
734345544211
oct7531441560
92583303143
101030112112
11489520527
12248b95840
131355511c3
149ab49408
156067d60c
hex3d664370

1030112112 has 80 divisors (see below), whose sum is σ = 2704326912. Its totient is φ = 337843200.

The previous prime is 1030112099. The next prime is 1030112117. The reversal of 1030112112 is 2112110301.

1030112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301121122 = 2122261926578201088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030112117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857112 + ... + 858312.

Almost surely, 21030112112 is an apocalyptic number.

1030112112 is a gapful number since it is divisible by the number (12) 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 1030112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352163456).

1030112112 is an abundant number, since it is smaller than the sum of its proper divisors (1674214800).

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

1030112112 is a wasteful number, since it uses less digits than its factorization.

1030112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1030112112 is about 32095.3596645995. The cubic root of 1030112112 is about 1009.9382741743.

Adding to 1030112112 its reverse (2112110301), we get a palindrome (3142222413).

The spelling of 1030112112 in words is "one billion, thirty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 167 214 321 334 428 501 642 668 856 1002 1201 1284 1336 1712 2004 2402 2568 2672 3603 4008 4804 5136 7206 8016 9608 14412 17869 19216 28824 35738 53607 57648 71476 107214 128507 142952 200567 214428 257014 285904 385521 401134 428856 514028 601701 771042 802268 857712 1028056 1203402 1542084 1604536 2056112 2406804 3084168 3209072 4813608 6168336 9627216 21460669 42921338 64382007 85842676 128764014 171685352 257528028 343370704 515056056 1030112112