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21321121122231 = 37101193250320809
BaseRepresentation
bin1001101100100001101011…
…10110011100011110110111
32210111021112120221010201020
410312100311312130132313
510243311124001402411
6113202442100432223
74330254154205160
oct466206566343667
983437476833636
1021321121122231
11688026703aa47
1224842143a8673
13bb875b120928
14539d3a968767
1526e928181606
hex136435d9c7b7

21321121122231 has 64 divisors (see below), whose sum is σ = 32995771299840. Its totient is φ = 11994996326400.

The previous prime is 21321121122181. The next prime is 21321121122239. The reversal of 21321121122231 is 13222112112312.

It is not a de Polignac number, because 21321121122231 - 218 = 21321120860087 is a prime.

It is a super-2 number, since 2×213211211222312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321121122239) 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, 1024600155 + ... + 1024620963.

It is an arithmetic number, because the mean of its divisors is an integer number (515558926560).

Almost surely, 221321121122231 is an apocalyptic number.

21321121122231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21321121122231 is a deficient number, since it is larger than the sum of its proper divisors (11674650177609).

21321121122231 is a wasteful number, since it uses less digits than its factorization.

21321121122231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23616.

The product of its digits is 576, while the sum is 24.

Adding to 21321121122231 its reverse (13222112112312), we get a palindrome (34543233234543).

The spelling of 21321121122231 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 101 193 303 579 707 1351 2121 2503 4053 7509 17521 19493 20809 52563 58479 62427 136451 145663 252803 409353 436989 483079 758409 1449237 1769621 2101709 3381553 4016137 5308863 6305127 10144659 12048411 14711963 28112959 44135889 48790979 52084927 84338877 146372937 156254781 341536853 364594489 405629837 1024610559 1093783467 1216889511 2839408859 5260577627 8518226577 10052390911 15781732881 30157172733 36824043389 70366736377 110472130167 211100209131 1015291482011 3045874446033 7107040374077 21321121122231