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1122121111100 = 2252111278032363
BaseRepresentation
bin10000010101000011101…
…000010101011000111100
310222021101112211122101212
4100111003220111120330
5121341101001023400
62215254553423552
7144033131032553
oct20250350253074
93867345748355
101122121111100
113a29861281a0
1216158410abb8
1381a7aa52b22
143c44d372d9a
151e2c7a54335
hex10543a1563c

1122121111100 has 72 divisors (see below), whose sum is σ = 2677283309568. Its totient is φ = 404831044800.

The previous prime is 1122121111091. The next prime is 1122121111147. The reversal of 1122121111100 is 11111212211.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3876482 + ... + 4155881.

Almost surely, 21122121111100 is an apocalyptic number.

1122121111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122121111100 is an abundant number, since it is smaller than the sum of its proper divisors (1555162198468).

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

1122121111100 is a wasteful number, since it uses less digits than its factorization.

1122121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032515 (or 8032508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1122121111100 its reverse (11111212211), we get a palindrome (1133232323311).

It can be divided in two parts, 112 and 2121111100, that added together give a palindrome (2121111212).

The spelling of 1122121111100 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 12700 13970 27940 34925 69850 139700 8032363 16064726 32129452 40161815 80323630 88355993 160647260 176711986 200809075 353423972 401618150 441779965 803236300 883559930 1020110101 1767119860 2040220202 2208899825 4080440404 4417799650 5100550505 8835599300 10201101010 11221211111 20402202020 22442422222 25502752525 44884844444 51005505050 56106055555 102011010100 112212111110 224424222220 280530277775 561060555550 1122121111100