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1142331012 = 223441113761
BaseRepresentation
bin100010000010110…
…1001011010000100
32221121111102120000
41010011221122010
54314414043022
6305204041300
740210440054
oct10405513204
92847442500
101142331012
115368a8219
1227a693230
13152882514
14ab9db564
156a4486ac
hex44169684

1142331012 has 120 divisors (see below), whose sum is σ = 3090242232. Its totient is φ = 367718400.

The previous prime is 1142331011. The next prime is 1142331019. The reversal of 1142331012 is 2101332411.

It can be written as a sum of positive squares in 4 ways, for example, as 345736836 + 796594176 = 18594^2 + 28224^2 .

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 (1142331011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1500712 + ... + 1501472.

Almost surely, 21142331012 is an apocalyptic number.

1142331012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545121116).

1142331012 is an abundant number, since it is smaller than the sum of its proper divisors (1947911220).

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

1142331012 is a wasteful number, since it uses less digits than its factorization.

1142331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

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

The square root of 1142331012 is about 33798.3877130256. The cubic root of 1142331012 is about 1045.3554530521.

Adding to 1142331012 its reverse (2101332411), we get a palindrome (3243663423).

The spelling of 1142331012 in words is "one billion, one hundred forty-two million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 113 123 162 164 226 246 324 339 369 452 492 678 738 761 1017 1107 1356 1476 1522 2034 2214 2283 3044 3051 3321 4068 4428 4566 4633 6102 6642 6849 9132 9153 9266 12204 13284 13698 13899 18306 18532 20547 27396 27798 31201 36612 41094 41697 55596 61641 62402 82188 83394 85993 93603 123282 124804 125091 166788 171986 187206 246564 250182 257979 280809 343972 374412 375273 500364 515958 561618 750546 773937 842427 1031916 1123236 1501092 1547874 1684854 2321811 2527281 3095748 3369708 3525713 4643622 5054562 6965433 7051426 9287244 10109124 10577139 13930866 14102852 21154278 27861732 31731417 42308556 63462834 95194251 126925668 190388502 285582753 380777004 571165506 1142331012