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10201022001 = 321133446889
BaseRepresentation
bin10011000000000011…
…10011111000110001
3222022221000121110200
421200001303320301
5131342430201001
64404123145413
7510535153632
oct114001637061
928287017420
1010201022001
1143652358a5
121b88375269
13c675419c1
146cab2d889
153ea86a086
hex260073e31

10201022001 has 6 divisors (see below), whose sum is σ = 14734809570. Its totient is φ = 6800681328.

The previous prime is 10201021993. The next prime is 10201022011. The reversal of 10201022001 is 10022010201.

It can be written as a sum of positive squares in only one way, i.e., 7709015601 + 2492006400 = 87801^2 + 49920^2 .

It is not a de Polignac number, because 10201022001 - 23 = 10201021993 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: 1133446889 = 10201022001 / (1 + 0 + 2 + 0 + 1 + 0 + 2 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10201022011) 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, 566723436 + ... + 566723453.

It is an arithmetic number, because the mean of its divisors is an integer number (2455801595).

Almost surely, 210201022001 is an apocalyptic number.

It is an amenable number.

10201022001 is a deficient number, since it is larger than the sum of its proper divisors (4533787569).

10201022001 is a wasteful number, since it uses less digits than its factorization.

10201022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133446895 (or 1133446892 counting only the distinct ones).

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

Adding to 10201022001 its reverse (10022010201), we get a palindrome (20223032202).

The spelling of 10201022001 in words is "ten billion, two hundred one million, twenty-two thousand, one".

Divisors: 1 3 9 1133446889 3400340667 10201022001