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1011022110100 = 225210110221101
BaseRepresentation
bin11101011011001011001…
…11010001110110010100
310120122121212110122002001
432231211213101312110
5113031033130010400
62052242424325044
7133021033066552
oct16554547216624
93518555418061
101011022110100
1135a8546953a2
12143b39313784
1374453964b92
1436d10230bd2
151b474221a6a
hexeb659d1d94

1011022110100 has 18 divisors (see below), whose sum is σ = 2193917979134. Its totient is φ = 404408844000.

The previous prime is 1011022110083. The next prime is 1011022110101. The reversal of 1011022110100 is 10112201101.

It can be written as a sum of positive squares in 3 ways, for example, as 294026386564 + 716995723536 = 542242^2 + 846756^2 .

It is a super-2 number, since 2×10110221101002 (a number of 25 digits) contains 22 as substring.

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 (1011022110101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5055110451 + ... + 5055110650.

Almost surely, 21011022110100 is an apocalyptic number.

1011022110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011022110100 is an abundant number, since it is smaller than the sum of its proper divisors (1182895869034).

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

1011022110100 is a wasteful number, since it uses less digits than its factorization.

1011022110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110221115 (or 10110221108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011022110100 its reverse (10112201101), we get a palindrome (1021134311201).

The spelling of 1011022110100 in words is "one trillion, eleven billion, twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10110221101 20220442202 40440884404 50551105505 101102211010 202204422020 252755527525 505511055050 1011022110100