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1123434411112 = 231313734201
BaseRepresentation
bin10000010110010001111…
…010001011010001101000
310222101210002001012100001
4100112101322023101220
5121401243202123422
62220033150152344
7144110515635556
oct20262172132150
93871702035301
101123434411112
113a349a489a02
1216188bab26b4
1381c29b66720
143c535956bd6
151e352ec0227
hex10591e8b468

1123434411112 has 64 divisors (see below), whose sum is σ = 2285697229200. Its totient is φ = 514600934400.

The previous prime is 1123434411107. The next prime is 1123434411137. The reversal of 1123434411112 is 2111144343211.

It can be written as a sum of positive squares in 8 ways, for example, as 3617541316 + 1119816869796 = 60146^2 + 1058214^2 .

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 15 ways as a sum of consecutive naturals, for example, 267418612 + ... + 267422812.

Almost surely, 21123434411112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123434411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142848614600).

1123434411112 is an abundant number, since it is smaller than the sum of its proper divisors (1162262818088).

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

1123434411112 is an frugal number, since it uses more digits than its factorization.

1123434411112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4353 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

Adding to 1123434411112 its reverse (2111144343211), we get a palindrome (3234578754323).

The spelling of 1123434411112 in words is "one trillion, one hundred twenty-three billion, four hundred thirty-four million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 4201 7124 8402 14248 16804 18769 33608 37538 54613 75076 109226 150152 218452 243997 436904 487994 575537 975988 1151074 1951976 2302148 2571353 4604296 5142706 7481981 10285412 14963962 20570824 29927924 33427589 59855848 66855178 78848569 133710356 157697138 267420712 315394276 630788552 1025031397 2050062794 4100125588 8200251176 10802253953 21604507906 43209015812 86418031624 140429301389 280858602778 561717205556 1123434411112