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1011223231100 = 2252157457140939
BaseRepresentation
bin11101011011100011001…
…10011111101001111100
310120200010212220122012222
432231301212133221330
5113031441121343400
62052314411144512
7133026024433265
oct16556146375174
93520125818188
101011223231100
1135a9481735a5
12143b94745138
13744865224a4
1436d2cc2596c
151b486bed185
hexeb7199fa7c

1011223231100 has 72 divisors (see below), whose sum is σ = 2213179128720. Its totient is φ = 401030622720.

The previous prime is 1011223231093. The next prime is 1011223231231. The reversal of 1011223231100 is 11323221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7104431 + ... + 7245369.

It is an arithmetic number, because the mean of its divisors is an integer number (30738599010).

Almost surely, 21011223231100 is an apocalyptic number.

1011223231100 is a gapful number since it is divisible by the number (10) 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 1011223231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106589564360).

1011223231100 is an abundant number, since it is smaller than the sum of its proper divisors (1201955897620).

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

1011223231100 is a wasteful number, since it uses less digits than its factorization.

1011223231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141567 (or 141560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1011223231100 its reverse (11323221101), we get a palindrome (1022546452201).

Subtracting from 1011223231100 its reverse (11323221101), we obtain a palindrome (999900009999).

The spelling of 1011223231100 in words is "one trillion, eleven billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 457 628 785 914 1570 1828 2285 3140 3925 4570 7850 9140 11425 15700 22850 45700 71749 140939 143498 281878 286996 358745 563756 704695 717490 1409390 1434980 1793725 2818780 3523475 3587450 7046950 7174900 14093900 22127423 44254846 64409123 88509692 110637115 128818246 221274230 257636492 322045615 442548460 553185575 644091230 1106371150 1288182460 1610228075 2212742300 3220456150 6440912300 10112232311 20224464622 40448929244 50561161555 101122323110 202244646220 252805807775 505611615550 1011223231100