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1030203141 = 311112327799
BaseRepresentation
bin111101011001111…
…010011100000101
32122210111202000220
4331121322130011
54102213000031
6250120454553
734346403462
oct7531723405
92583452026
101030203141
11489582960
1224901a459
13135583776
149ab70669
156069a596
hex3d67a705

1030203141 has 16 divisors (see below), whose sum is σ = 1499865600. Its totient is φ = 623787120.

The previous prime is 1030203137. The next prime is 1030203151. The reversal of 1030203141 is 1413020301.

It is not a de Polignac number, because 1030203141 - 22 = 1030203137 is a prime.

It is a super-3 number, since 3×10302031413 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1030203141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030203101) by changing a digit.

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, 23160 + ... + 50958.

It is an arithmetic number, because the mean of its divisors is an integer number (93741600).

Almost surely, 21030203141 is an apocalyptic number.

1030203141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1030203141 is a deficient number, since it is larger than the sum of its proper divisors (469662459).

1030203141 is a wasteful number, since it uses less digits than its factorization.

1030203141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28936.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1030203141 is about 32096.7777354675. Note that the first 4 decimals coincide. The cubic root of 1030203141 is about 1009.9680220572.

Adding to 1030203141 its reverse (1413020301), we get a palindrome (2443223442).

The spelling of 1030203141 in words is "one billion, thirty million, two hundred three thousand, one hundred forty-one".

Divisors: 1 3 11 33 1123 3369 12353 27799 37059 83397 305789 917367 31218277 93654831 343401047 1030203141