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20430131320221 = 3713727133477829
BaseRepresentation
bin1001010010100110000101…
…01110000101010110011101
32200100002201222102112111120
410221103002232011112131
510134211402104221341
6111241250041041153
74206012461641350
oct451230256052635
980302658375446
1020430131320221
116567408577277
12235b5b57861b9
13b5272627582c
14508b76090297
1525667bb98066
hex1294c2b8559d

20430131320221 has 64 divisors (see below), whose sum is σ = 31488007495680. Its totient is φ = 11541457912320.

The previous prime is 20430131320211. The next prime is 20430131320241. The reversal of 20430131320221 is 12202313103402.

It is not a de Polignac number, because 20430131320221 - 25 = 20430131320189 is a prime.

It is a super-2 number, since 2×204301313202212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20430131320191 and 20430131320200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430131320211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2609541535 + ... + 2609549363.

It is an arithmetic number, because the mean of its divisors is an integer number (492000117120).

Almost surely, 220430131320221 is an apocalyptic number.

20430131320221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20430131320221 is a deficient number, since it is larger than the sum of its proper divisors (11057876175459).

20430131320221 is a wasteful number, since it uses less digits than its factorization.

20430131320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11594.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20430131320221 its reverse (12202313103402), we get a palindrome (32632444423623).

The spelling of 20430131320221 in words is "twenty trillion, four hundred thirty billion, one hundred thirty-one million, three hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 21 137 271 411 813 959 1897 2877 3347 5691 7829 10041 23429 23487 37127 54803 70287 111381 164409 259889 458539 779667 907037 1072573 1375617 2121659 2721111 3209773 3217719 6349259 6364977 7508011 9629319 14851613 19047777 22524033 26203663 44554839 78610989 124264069 183425641 290667283 372792207 550276923 869848483 872001849 2034670981 2609545449 3589901831 6104012943 7101192673 10769705493 21303578019 25129312817 49708348711 75387938451 149125046133 972863396201 2918590188603 6810043773407 20430131320221