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1011201210100 = 225217358450937
BaseRepresentation
bin11101011011100000100…
…10011111011011110100
310120200002100110212002101
432231300102133123310
5113031420002210400
62052312303151444
7133025336316154
oct16556022373364
93520070425071
101011201210100
1135a9367a2924
12143b892a5584
1374481ab2203
1436d29d32764
151b484ced56a
hexeb7049f6f4

1011201210100 has 36 divisors (see below), whose sum is σ = 2206990517004. Its totient is φ = 402142439680.

The previous prime is 1011201210031. The next prime is 1011201210121. The reversal of 1011201210100 is 10121021101.

It can be written as a sum of positive squares in 6 ways, for example, as 7273360656 + 1003927849444 = 85284^2 + 1001962^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29208169 + ... + 29242768.

It is an arithmetic number, because the mean of its divisors is an integer number (61305292139).

Almost surely, 21011201210100 is an apocalyptic number.

1011201210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011201210100 is an abundant number, since it is smaller than the sum of its proper divisors (1195789306904).

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

1011201210100 is a wasteful number, since it uses less digits than its factorization.

1011201210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58451124 (or 58451117 counting only the distinct ones).

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

Adding to 1011201210100 its reverse (10121021101), we get a palindrome (1021322231201).

The spelling of 1011201210100 in words is "one trillion, eleven billion, two hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 58450937 116901874 233803748 292254685 584509370 1169018740 1461273425 2922546850 5845093700 10112012101 20224024202 40448048404 50560060505 101120121010 202240242020 252800302525 505600605050 1011201210100