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10202034321 = 34149845309
BaseRepresentation
bin10011000000001011…
…01011000010010001
3222022222221001010000
421200011223002101
5131343210044241
64404201000213
7510546601203
oct114005530221
928288831100
1010202034321
114365867426
121b88783069
13c678076cb
146cad14773
153ea9b9eb6
hex26016b091

10202034321 has 20 divisors (see below), whose sum is σ = 15342376500. Its totient is φ = 6755701536.

The previous prime is 10202034319. The next prime is 10202034343. The reversal of 10202034321 is 12343020201.

10202034321 is a `hidden beast` number, since 10 + 20 + 203 + 432 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 780420096 + 9421614225 = 27936^2 + 97065^2 .

It is not a de Polignac number, because 10202034321 - 21 = 10202034319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202034294 and 10202034303.

It is not an unprimeable number, because it can be changed into a prime (10202034421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 410586 + ... + 434723.

It is an arithmetic number, because the mean of its divisors is an integer number (767118825).

Almost surely, 210202034321 is an apocalyptic number.

It is an amenable number.

10202034321 is a deficient number, since it is larger than the sum of its proper divisors (5140342179).

10202034321 is an equidigital number, since it uses as much as digits as its factorization.

10202034321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845470 (or 845461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10202034321 its reverse (12343020201), we get a palindrome (22545054522).

The spelling of 10202034321 in words is "ten billion, two hundred two million, thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 149 447 1341 4023 12069 845309 2535927 7607781 22823343 68470029 125951041 377853123 1133559369 3400678107 10202034321