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10201022321 = 721012299001
BaseRepresentation
bin10011000000000011…
…10011111101110001
3222022221000121220112
421200001303331301
5131342430203241
64404123151105
7510535154600
oct114001637561
928287017815
1010201022321
114365236066
121b88375495
13c67541ba9
146cab2da37
153ea86a1eb
hex260073f71

10201022321 has 24 divisors (see below), whose sum is σ = 12037654440. Its totient is φ = 8618400000.

The previous prime is 10201022287. The next prime is 10201022371. The reversal of 10201022321 is 12322010201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4954048225 + 5246974096 = 70385^2 + 72436^2 .

It is not a de Polignac number, because 10201022321 - 210 = 10201021297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201022296 and 10201022305.

It is not an unprimeable number, because it can be changed into a prime (10201022371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128821 + ... + 1137821.

It is an arithmetic number, because the mean of its divisors is an integer number (501568935).

Almost surely, 210201022321 is an apocalyptic number.

It is an amenable number.

10201022321 is a deficient number, since it is larger than the sum of its proper divisors (1836632119).

10201022321 is a wasteful number, since it uses less digits than its factorization.

10201022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10201022321 its reverse (12322010201), we get a palindrome (22523032522).

The spelling of 10201022321 in words is "ten billion, two hundred one million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 49 101 229 707 1603 4949 9001 11221 23129 63007 161903 441049 909101 1133321 2061229 6363707 14428603 44545949 101000221 208184129 1457288903 10201022321