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10231818201 = 321129395609
BaseRepresentation
bin10011000011101110…
…10010011111011001
3222102001222012220200
421201313102133121
5131423321140301
64411143212413
7511361006523
oct114167223731
928361865820
1010231818201
11438065a500
121b96747109
13c70a351c7
146d0c68a13
153ed3eec86
hex261dd27d9

10231818201 has 18 divisors (see below), whose sum is σ = 16245009690. Its totient is φ = 6201101280.

The previous prime is 10231818131. The next prime is 10231818211. The reversal of 10231818201 is 10281813201.

It can be written as a sum of positive squares in only one way, i.e., 8217603801 + 2014214400 = 90651^2 + 44880^2 .

It is not a de Polignac number, because 10231818201 - 210 = 10231817177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10231818211) 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 17 ways as a sum of consecutive naturals, for example, 4696716 + ... + 4698893.

Almost surely, 210231818201 is an apocalyptic number.

10231818201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10231818201 is a deficient number, since it is larger than the sum of its proper divisors (6013191489).

10231818201 is a wasteful number, since it uses less digits than its factorization.

10231818201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395637 (or 9395623 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Subtracting 10231818201 from its reverse (10281813201), we obtain a triangular number (49995000 = T9999).

The spelling of 10231818201 in words is "ten billion, two hundred thirty-one million, eight hundred eighteen thousand, two hundred one".

Divisors: 1 3 9 11 33 99 121 363 1089 9395609 28186827 84560481 103351699 310055097 930165291 1136868689 3410606067 10231818201