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22312200133321 = 7212718192921323
BaseRepresentation
bin1010001001010111101101…
…10000110101101011001001
32221000000200120221101000121
411010223312300311223021
510411030341213231241
6115242025551303241
74462001055620200
oct504536660655311
987000616841017
1022312200133321
11712260732a92a
12260430681ab21
13c5b0541113b7
14571cb8286237
1528a5d1626ad1
hex144af6c35ac9

22312200133321 has 48 divisors (see below), whose sum is σ = 26333454551040. Its totient is φ = 18848129448960.

The previous prime is 22312200133313. The next prime is 22312200133357. The reversal of 22312200133321 is 12333100221322.

It is not a de Polignac number, because 22312200133321 - 23 = 22312200133313 is a prime.

It is a super-3 number, since 3×223122001333213 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22312200137321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046380566 + ... + 1046401888.

It is an arithmetic number, because the mean of its divisors is an integer number (548613636480).

Almost surely, 222312200133321 is an apocalyptic number.

It is an amenable number.

22312200133321 is a deficient number, since it is larger than the sum of its proper divisors (4021254417719).

22312200133321 is a wasteful number, since it uses less digits than its factorization.

22312200133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22574 (or 22567 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 22312200133321 its reverse (12333100221322), we get a palindrome (34645300354643).

The spelling of 22312200133321 in words is "twenty-two trillion, three hundred twelve billion, two hundred million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 7 49 127 181 889 929 1267 6223 6503 8869 21323 22987 45521 117983 149261 160909 168149 825881 1044827 1126363 1177043 2708021 3859463 5781167 8239301 18956147 19809067 21354923 27016241 132693029 138663469 149484461 189113687 490151801 970644283 1046391227 2515751509 3431062607 3585441127 17610260563 24017438249 25098087889 123271823941 175686615223 455351023129 3187457161903 22312200133321