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1311660042 = 237118273433
BaseRepresentation
bin100111000101110…
…0101100000001010
310101102010020022120
41032023211200022
510141241110132
6334053232110
744334632520
oct11613454012
93342106276
101311660042
11613441670
12307332636
1317b98b304
14c62b8310
157a24502c
hex4e2e580a

1311660042 has 64 divisors (see below), whose sum is σ = 3275541504. Its totient is φ = 340179840.

The previous prime is 1311660037. The next prime is 1311660047. The reversal of 1311660042 is 2400661131.

It is an interprime number because it is at equal distance from previous prime (1311660037) and next prime (1311660047).

It is a junction number, because it is equal to n+sod(n) for n = 1311659994 and 1311660021.

It is not an unprimeable number, because it can be changed into a prime (1311660047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380358 + ... + 383790.

It is an arithmetic number, because the mean of its divisors is an integer number (51180336).

Almost surely, 21311660042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311660042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637770752).

1311660042 is an abundant number, since it is smaller than the sum of its proper divisors (1963881462).

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

1311660042 is a wasteful number, since it uses less digits than its factorization.

1311660042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1311660042 is about 36216.8474884273. The cubic root of 1311660042 is about 1094.6461724546.

The spelling of 1311660042 in words is "one billion, three hundred eleven million, six hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 827 1654 2481 3433 4962 5789 6866 9097 10299 11578 17367 18194 20598 24031 27291 34734 37763 48062 54582 63679 72093 75526 113289 127358 144186 191037 226578 264341 382074 528682 793023 1586046 2839091 5678182 8517273 17034546 19873637 31230001 39747274 59620911 62460002 93690003 119241822 187380006 218610007 437220014 655830021 1311660042