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1013311431 = 33113411823
BaseRepresentation
bin111100011001011…
…110011111000111
32121121201112222000
4330121132133013
54033401431211
6244314440343
734053001506
oct7431363707
92547645860
101013311431
1147aa95970
122434330b3
13131c1b082
149881483d
155de60656
hex3c65e7c7

1013311431 has 16 divisors (see below), whose sum is σ = 1637675520. Its totient is φ = 614127960.

The previous prime is 1013311427. The next prime is 1013311459. The reversal of 1013311431 is 1341133101.

It is not a de Polignac number, because 1013311431 - 22 = 1013311427 is a prime.

It is a super-2 number, since 2×10133114312 = 2053600112390535522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312431) 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 15 ways as a sum of consecutive naturals, for example, 1705615 + ... + 1706208.

It is an arithmetic number, because the mean of its divisors is an integer number (102354720).

Almost surely, 21013311431 is an apocalyptic number.

1013311431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013311431 is a deficient number, since it is larger than the sum of its proper divisors (624364089).

1013311431 is a wasteful number, since it uses less digits than its factorization.

1013311431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411843 (or 3411837 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1013311431 is about 31832.5530078880. The cubic root of 1013311431 is about 1004.4175997424.

Adding to 1013311431 its reverse (1341133101), we get a palindrome (2354444532).

The spelling of 1013311431 in words is "one billion, thirteen million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 3411823 10235469 30706407 37530053 92119221 112590159 337770477 1013311431