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1131110442 = 2327114318979
BaseRepresentation
bin100001101101011…
…0110000000101010
32220211101100211100
41003122312000222
54304031013232
6304123342230
740013165040
oct10332660052
92824340740
101131110442
11530534020
12276981976
13150454227
14aa31a390
156947dc7c
hex436b602a

1131110442 has 96 divisors (see below), whose sum is σ = 3126689280. Its totient is φ = 286947360.

The previous prime is 1131110441. The next prime is 1131110447. The reversal of 1131110442 is 2440111311.

1131110442 is a `hidden beast` number, since 113 + 1 + 110 + 442 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1131110441) 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 47 ways as a sum of consecutive naturals, for example, 50109 + ... + 69087.

It is an arithmetic number, because the mean of its divisors is an integer number (32569680).

Almost surely, 21131110442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131110442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563344640).

1131110442 is an abundant number, since it is smaller than the sum of its proper divisors (1995578838).

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

1131110442 is a wasteful number, since it uses less digits than its factorization.

1131110442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19048 (or 19045 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1131110442 is about 33631.9854008056. The cubic root of 1131110442 is about 1041.9215098745.

Adding to 1131110442 its reverse (2440111311), we get a palindrome (3571221753).

The spelling of 1131110442 in words is "one billion, one hundred thirty-one million, one hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 126 129 154 198 231 258 301 387 462 473 602 693 774 903 946 1386 1419 1806 2709 2838 3311 4257 5418 6622 8514 9933 18979 19866 29799 37958 56937 59598 113874 132853 170811 208769 265706 341622 398559 417538 626307 797118 816097 1195677 1252614 1461383 1632194 1878921 2391354 2448291 2922766 3757842 4384149 4896582 5712679 7344873 8768298 8977067 11425358 13152447 14689746 17138037 17954134 26304894 26931201 34276074 51414111 53862402 62839469 80793603 102828222 125678938 161587206 188518407 377036814 565555221 1131110442