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22130522204301 = 32713919313094201
BaseRepresentation
bin1010000100000101010011…
…11010100010100010001101
32220100122202010212022212200
411002002221322202202031
510400041302141014201
6115022342130552113
74442606653660560
oct502025172424215
986318663768780
1022130522204301
11706255792a855
122595063138639
13c46b8c97a554
145671a16ac4d7
152859eb979386
hex1420a9ea288d

22130522204301 has 48 divisors (see below), whose sum is σ = 36986406737280. Its totient is φ = 12489981235200.

The previous prime is 22130522204267. The next prime is 22130522204321. The reversal of 22130522204301 is 10340222503122.

22130522204301 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 5 + 2 + 220 + 430 + 1 = 666.

It is not a de Polignac number, because 22130522204301 - 27 = 22130522204173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130522204321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4857000 + ... + 8237201.

It is an arithmetic number, because the mean of its divisors is an integer number (770550140360).

Almost surely, 222130522204301 is an apocalyptic number.

22130522204301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22130522204301 is a deficient number, since it is larger than the sum of its proper divisors (14855884532979).

22130522204301 is a wasteful number, since it uses less digits than its factorization.

22130522204301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13094546 (or 13094543 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22130522204301 its reverse (10340222503122), we get a palindrome (32470744707423).

The spelling of 22130522204301 in words is "twenty-two trillion, one hundred thirty billion, five hundred twenty-two million, two hundred four thousand, three hundred one".

Divisors: 1 3 7 9 21 63 139 193 417 579 973 1251 1351 1737 2919 4053 8757 12159 26827 80481 187789 241443 563367 1690101 13094201 39282603 91659407 117847809 274978221 824934663 1820093939 2527180793 5460281817 7581542379 12740657573 16380845451 17690265551 22744627137 38221972719 53070796653 114665918157 159212389959 351278130227 1053834390681 2458946911589 3161503172043 7376840734767 22130522204301