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1012331331 = 331115122573
BaseRepresentation
bin111100010101101…
…111001101000011
32121112212202112000
4330111233031003
54033124100311
6244241435043
734041450204
oct7425571503
92545782460
101012331331
1147a486570
1224303ba83
13131966c2b
149863b5ab
155dd1a056
hex3c56f343

1012331331 has 32 divisors (see below), whose sum is σ = 1646999040. Its totient is φ = 609444000.

The previous prime is 1012331303. The next prime is 1012331339. The reversal of 1012331331 is 1331332101.

It is a happy number.

1012331331 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 331 + 331 = 666.

It is not a de Polignac number, because 1012331331 - 213 = 1012323139 is a prime.

It is a super-2 number, since 2×10123313312 = 2049629447448463122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012331339) 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 31 ways as a sum of consecutive naturals, for example, 33561 + ... + 56133.

It is an arithmetic number, because the mean of its divisors is an integer number (51468720).

Almost surely, 21012331331 is an apocalyptic number.

1012331331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012331331 is a deficient number, since it is larger than the sum of its proper divisors (634667709).

1012331331 is a wasteful number, since it uses less digits than its factorization.

1012331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22744 (or 22738 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1012331331 is about 31817.1546653688. The cubic root of 1012331331 is about 1004.0936627249.

Adding to 1012331331 its reverse (1331332101), we get a palindrome (2343663432).

The spelling of 1012331331 in words is "one billion, twelve million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 151 297 453 1359 1661 4077 4983 14949 22573 44847 67719 203157 248303 609471 744909 2234727 3408523 6704181 10225569 30676707 37493753 92030121 112481259 337443777 1012331331