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1011211110100 = 225210112111101
BaseRepresentation
bin11101011011100001110…
…00010000011011010100
310120200010001002211100001
432231300320100123110
5113031430021010400
62052313255301044
7133025516421142
oct16556070203324
93520101084301
101011211110100
1135a941344944
12143b9067a784
1374483b6a3b9
1436d2b38c592
151b485b06a6a
hexeb70e106d4

1011211110100 has 18 divisors (see below), whose sum is σ = 2194328109134. Its totient is φ = 404484444000.

The previous prime is 1011211109999. The next prime is 1011211110103. The reversal of 1011211110100 is 10111121101.

It can be written as a sum of positive squares in 3 ways, for example, as 77255090704 + 933956019396 = 277948^2 + 966414^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011211110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5056055451 + ... + 5056055650.

Almost surely, 21011211110100 is an apocalyptic number.

1011211110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011211110100 is an abundant number, since it is smaller than the sum of its proper divisors (1183116999034).

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

1011211110100 is a wasteful number, since it uses less digits than its factorization.

1011211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112111115 (or 10112111108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1011211110100 its reverse (10111121101), we get a palindrome (1021322231201).

The spelling of 1011211110100 in words is "one trillion, eleven billion, two hundred eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10112111101 20224222202 40448444404 50560555505 101121111010 202242222020 252802777525 505605555050 1011211110100