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1131312042 = 23374217109
BaseRepresentation
bin100001101101110…
…0111001110101010
32220211202121101000
41003123213032222
54304103441132
6304131535430
740014664560
oct10333471652
92824677330
101131312042
11530661533
12276a5a576
131504c4c13
14aa36da30
15694bd87c
hex436e73aa

1131312042 has 64 divisors (see below), whose sum is σ = 2880403200. Its totient is φ = 322418880.

The previous prime is 1131312031. The next prime is 1131312059. The reversal of 1131312042 is 2402131311.

It is a super-3 number, since 3×11313120423 (a number of 28 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 155584 + ... + 162692.

It is an arithmetic number, because the mean of its divisors is an integer number (45006300).

Almost surely, 21131312042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131312042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440201600).

1131312042 is an abundant number, since it is smaller than the sum of its proper divisors (1749091158).

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

1131312042 is a wasteful number, since it uses less digits than its factorization.

1131312042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1131312042 is about 33634.9824141473. The cubic root of 1131312042 is about 1041.9834074254.

Adding to 1131312042 its reverse (2402131311), we get a palindrome (3533443353).

The spelling of 1131312042 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 421 842 1263 2526 2947 3789 5894 7109 7578 8841 11367 14218 17682 21327 22734 26523 42654 49763 53046 63981 79569 99526 127962 149289 159138 191943 298578 383886 447867 895734 1343601 2687202 2992889 5985778 8978667 17957334 20950223 26936001 41900446 53872002 62850669 80808003 125701338 161616006 188552007 377104014 565656021 1131312042