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1000011101000 = 23531381724121
BaseRepresentation
bin11101000110101010100…
…11100111001101001000
310112121012111022102012012
432203111103213031020
5112341010320213000
62043222044235052
7132151131052322
oct16432523471510
93477174272165
101000011101000
1135611421827a
1214198583ba88
13733ba684592
1436587ad6612
151b02c70a735
hexe8d54e7348

1000011101000 has 64 divisors (see below), whose sum is σ = 2341723653360. Its totient is φ = 399714240000.

The previous prime is 1000011100997. The next prime is 1000011101017. The reversal of 1000011101000 is 1011100001.

1000011101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 121356083044 + 878655017956 = 348362^2 + 937366^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018940 + ... + 1743060.

Almost surely, 21000011101000 is an apocalyptic number.

1000011101000 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 1000011101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170861826680).

1000011101000 is an abundant number, since it is smaller than the sum of its proper divisors (1341712552360).

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

1000011101000 is a wasteful number, since it uses less digits than its factorization.

1000011101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725523 (or 725509 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000011101000 its reverse (1011100001), we get a palindrome (1001022201001).

Subtracting from 1000011101000 its reverse (1011100001), we obtain a palindrome (999000000999).

It can be divided in two parts, 1000011 and 101000, that added together give a palindrome (1101011).

The spelling of 1000011101000 in words is "one trillion, eleven million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1381 2762 5524 6905 11048 13810 27620 34525 55240 69050 138100 172625 276200 345250 690500 724121 1381000 1448242 2896484 3620605 5792968 7241210 14482420 18103025 28964840 36206050 72412100 90515125 144824200 181030250 362060500 724121000 1000011101 2000022202 4000044404 5000055505 8000088808 10000111010 20000222020 25000277525 40000444040 50000555050 100001110100 125001387625 200002220200 250002775250 500005550500 1000011101000