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10023331221 = 325321013273
BaseRepresentation
bin10010101010110111…
…11110010110010101
3221212112122222112200
421111123332112111
5131011433044341
64334334435113
7503246624001
oct112533762625
927775588480
1010023331221
114283a00112
121b38962a99
13c39798c27
146b12b7701
153d9e6adb6
hex2556fe595

10023331221 has 12 divisors (see below), whose sum is σ = 14751318348. Its totient is φ = 6556140864.

The previous prime is 10023331217. The next prime is 10023331229. The reversal of 10023331221 is 12213332001.

10023331221 is a `hidden beast` number, since 100 + 233 + 312 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5731247025 + 4292084196 = 75705^2 + 65514^2 .

It is not a de Polignac number, because 10023331221 - 22 = 10023331217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10023331194 and 10023331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023331229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10506160 + ... + 10507113.

It is an arithmetic number, because the mean of its divisors is an integer number (1229276529).

Almost surely, 210023331221 is an apocalyptic number.

It is an amenable number.

10023331221 is a deficient number, since it is larger than the sum of its proper divisors (4727987127).

10023331221 is a wasteful number, since it uses less digits than its factorization.

10023331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21013332 (or 21013329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023331221 its reverse (12213332001), we get a palindrome (22236663222).

The spelling of 10023331221 in words is "ten billion, twenty-three million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 53 159 477 21013273 63039819 189119457 1113703469 3341110407 10023331221