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1311330042 = 2321117773727
BaseRepresentation
bin100111000101001…
…0100111011111010
310101101111110122100
41032022110323322
510141200030132
6334042204230
744332056441
oct11612247372
93341443570
101311330042
11613236740
123071b3676
1317b8a4049
14c622dd58
157a1cc37c
hex4e294efa

1311330042 has 48 divisors (see below), whose sum is σ = 3102083712. Its totient is φ = 397042560.

The previous prime is 1311330017. The next prime is 1311330067. The reversal of 1311330042 is 2400331131.

It is an interprime number because it is at equal distance from previous prime (1311330017) and next prime (1311330067).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311329997 and 1311330024.

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 23 ways as a sum of consecutive naturals, for example, 349983 + ... + 353709.

It is an arithmetic number, because the mean of its divisors is an integer number (64626744).

Almost surely, 21311330042 is an apocalyptic number.

1311330042 is an abundant number, since it is smaller than the sum of its proper divisors (1790753670).

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

1311330042 is a wasteful number, since it uses less digits than its factorization.

1311330042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1311330042 is about 36212.2913111004. The cubic root of 1311330042 is about 1094.5543642310.

Adding to 1311330042 its reverse (2400331131), we get a palindrome (3711661173).

The spelling of 1311330042 in words is "one billion, three hundred eleven million, three hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1777 3554 3727 5331 7454 10662 11181 15993 19547 22362 31986 33543 39094 40997 58641 67086 81994 117282 122991 175923 245982 351846 368973 737946 6622879 13245758 19868637 39737274 59605911 72851669 119211822 145703338 218555007 437110014 655665021 1311330042