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1030120311 = 311210128097
BaseRepresentation
bin111101011001100…
…110001101110111
32122210100112102010
4331121212031313
54102202322221
6250115015303
734345610133
oct7531461567
92583315363
101030120311
11489526700
12248b9a533
13135554b5c
149ab4c3c3
1560680c76
hex3d666377

1030120311 has 24 divisors (see below), whose sum is σ = 1524709872. Its totient is φ = 618112000.

The previous prime is 1030120277. The next prime is 1030120313. The reversal of 1030120311 is 1130210301.

It is not a de Polignac number, because 1030120311 - 27 = 1030120183 is a prime.

It is a super-2 number, since 2×10301203112 = 2122295710269473442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030120313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22615 + ... + 50711.

It is an arithmetic number, because the mean of its divisors is an integer number (63529578).

Almost surely, 21030120311 is an apocalyptic number.

1030120311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1030120311 is a deficient number, since it is larger than the sum of its proper divisors (494589561).

1030120311 is a wasteful number, since it uses less digits than its factorization.

1030120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28223 (or 28212 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1030120311 is about 32095.4873930900. The cubic root of 1030120311 is about 1009.9409536438.

Adding to 1030120311 its reverse (1130210301), we get a palindrome (2160330612).

The spelling of 1030120311 in words is "one billion, thirty million, one hundred twenty thousand, three hundred eleven".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 28097 36663 84291 309067 927201 2837797 3399737 8513391 10199211 31215767 93647301 343373437 1030120311