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1030133112 = 233434212371
BaseRepresentation
bin111101011001101…
…001010101111000
32122210101011222020
4331121221111320
54102203224422
6250115154440
734345662351
oct7531512570
92583334866
101030133112
11489535288
12248ba5a20
1313555a928
149ab52d28
156068495c
hex3d669578

1030133112 has 64 divisors (see below), whose sum is σ = 2642597760. Its totient is φ = 334454400.

The previous prime is 1030133063. The next prime is 1030133129. The reversal of 1030133112 is 2113310301.

It is a super-2 number, since 2×10301331122 = 2122348456877609088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030133091 and 1030133100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433287 + ... + 435657.

It is an arithmetic number, because the mean of its divisors is an integer number (41290590).

Almost surely, 21030133112 is an apocalyptic number.

1030133112 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 1030133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321298880).

1030133112 is an abundant number, since it is smaller than the sum of its proper divisors (1612464648).

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

1030133112 is a wasteful number, since it uses less digits than its factorization.

1030133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1030133112 is about 32095.6868130283. The cubic root of 1030133112 is about 1009.9451370389.

Adding to 1030133112 its reverse (2113310301), we get a palindrome (3143443413).

The spelling of 1030133112 in words is "one billion, thirty million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 421 516 842 1032 1263 1684 2371 2526 3368 4742 5052 7113 9484 10104 14226 18103 18968 28452 36206 54309 56904 72412 101953 108618 144824 203906 217236 305859 407812 434472 611718 815624 998191 1223436 1996382 2446872 2994573 3992764 5989146 7985528 11978292 23956584 42922213 85844426 128766639 171688852 257533278 343377704 515066556 1030133112