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10022105532231 = 321321729131910133
BaseRepresentation
bin1001000111010111010000…
…0010100100011101000111
31022111002210202200122022100
42101311310002210131013
52303200233004012411
633152031451203143
72053034055306162
oct221656402443507
938432722618270
1010022105532231
11321439532a621
12115a426a464b3
13579107b0a100
14269102d00ad9
15125a7096a456
hex91d740a4747

10022105532231 has 144 divisors (see below), whose sum is σ = 17184742660800. Its totient is φ = 5599696048128.

The previous prime is 10022105532217. The next prime is 10022105532247. The reversal of 10022105532231 is 13223550122001.

10022105532231 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 105 + 532 + 23 + 1 = 666.

It is not a de Polignac number, because 10022105532231 - 29 = 10022105531719 is a prime.

It is a super-2 number, since 2×100221055322312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022105532195 and 10022105532204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022105532931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 989051041 + ... + 989061173.

It is an arithmetic number, because the mean of its divisors is an integer number (119338490700).

Almost surely, 210022105532231 is an apocalyptic number.

10022105532231 is a deficient number, since it is larger than the sum of its proper divisors (7162637128569).

10022105532231 is a wasteful number, since it uses less digits than its factorization.

10022105532231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10022105532231 its reverse (13223550122001), we get a palindrome (23245655654232).

The spelling of 10022105532231 in words is "ten trillion, twenty-two billion, one hundred five million, five hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 13 17 29 39 51 87 117 153 169 221 261 377 493 507 663 1131 1319 1479 1521 1989 2873 3393 3957 4437 4901 6409 8619 10133 11871 14703 17147 19227 22423 25857 30399 38251 44109 51441 57681 67269 83317 91197 114753 131729 154323 172261 201807 222911 249951 291499 293857 344259 395187 497263 516783 650267 668733 749853 874497 881571 1185561 1491789 1550349 1712477 1950801 2006199 2239393 2623491 2644713 3789487 3820141 4475367 4995569 5137431 5852403 6464419 6718179 8453471 11368461 11460423 13365427 14986707 15412293 19393257 20154537 25360413 29112109 34105383 34381269 40096281 44960121 49661833 58179771 64942397 76081239 87336327 109895123 120288843 148985499 173750551 194827191 227212259 262008981 329685369 387597383 446956497 521251653 584481573 681636777 844251161 989056107 1162792149 1563754959 2044910331 2258757163 2532753483 2953759367 3488376447 5038765979 6589155511 6776271489 7598260449 8861278101 15116297937 19767466533 20328814467 26583834303 38398871771 45348893811 59302399599 65503957727 85659021643 115196615313 196511873181 256977064929 345589845939 589535619543 770931194787 1113567281359 3340701844077 10022105532231