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10221020001 = 321135668889
BaseRepresentation
bin10011000010011100…
…00110001101100001
3222101022122121120100
421201032012031201
5131413040120001
64410115533013
7511200144063
oct114116061541
928338577510
1010221020001
114375554675
121b92bba169
13c6b72423a
146cd657733
153ec4ba586
hex261386361

10221020001 has 6 divisors (see below), whose sum is σ = 14763695570. Its totient is φ = 6814013328.

The previous prime is 10221019997. The next prime is 10221020003. The reversal of 10221020001 is 10002012201.

It can be written as a sum of positive squares in only one way, i.e., 7529900625 + 2691119376 = 86775^2 + 51876^2 .

It is not a de Polignac number, because 10221020001 - 22 = 10221019997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1135668889 = 10221020001 / (1 + 0 + 2 + 2 + 1 + 0 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221020003) 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, 567834436 + ... + 567834453.

Almost surely, 210221020001 is an apocalyptic number.

It is an amenable number.

10221020001 is a deficient number, since it is larger than the sum of its proper divisors (4542675569).

10221020001 is a wasteful number, since it uses less digits than its factorization.

10221020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135668895 (or 1135668892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10221020001 its reverse (10002012201), we get a palindrome (20223032202).

The spelling of 10221020001 in words is "ten billion, two hundred twenty-one million, twenty thousand, one".

Divisors: 1 3 9 1135668889 3407006667 10221020001