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22113101331321 = 37111337199018111
BaseRepresentation
bin1010000011100100110111…
…00011001011101101111001
32220021222210001102021202220
411001302123203023231321
510344300112420100241
6115010341333114253
74441422160001460
oct501623343135571
986258701367686
1022113101331321
11705612823a070
122591800a88989
13c45344717ca0
145663cbb539d7
1528532c369166
hex141c9b8cbb79

22113101331321 has 64 divisors (see below), whose sum is σ = 40657012064256. Its totient is φ = 10317098822400.

The previous prime is 22113101331319. The next prime is 22113101331331. The reversal of 22113101331321 is 12313310131122.

It is not a de Polignac number, because 22113101331321 - 21 = 22113101331319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22113101331291 and 22113101331300.

It is not an unprimeable number, because it can be changed into a prime (22113101331311) 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, 99397945 + ... + 99620166.

It is an arithmetic number, because the mean of its divisors is an integer number (635265813504).

Almost surely, 222113101331321 is an apocalyptic number.

22113101331321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22113101331321 is a deficient number, since it is larger than the sum of its proper divisors (18543910732935).

22113101331321 is a wasteful number, since it uses less digits than its factorization.

22113101331321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199018182.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 22113101331321 its reverse (12313310131122), we get a palindrome (34426411462443).

It can be divided in two parts, 22113101 and 331321, that added together give a palindrome (22444422).

The spelling of 22113101331321 in words is "twenty-two trillion, one hundred thirteen billion, one hundred one million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 199018111 597054333 1393126777 2189199221 2587235443 4179380331 6567597663 7363670107 7761706329 15324394547 18110648101 22091010321 28459589873 45973183641 51545690749 54331944303 81000371177 85378769619 95727711391 154637072247 199217129111 243001113531 287183134173 567002598239 597651387333 670093979737 1053004825301 1701007794717 2010281939211 3159014475903 7371033777107 22113101331321