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22331131022330 = 251317291732014069
BaseRepresentation
bin1010001001111010111110…
…01000011100101111111010
32221001211112220202011200222
411010331133020130233322
510411333124020203310
6115254440250100042
74463241146541344
oct504753710345772
987054486664628
1022331131022330
11712a641321a49
122607b0a71a622
13c5ca80161b80
14572b92590294
1528ad3d5ae055
hex144f5f21cbfa

22331131022330 has 128 divisors (see below), whose sum is σ = 47688988334400. Its totient is φ = 7449409142784.

The previous prime is 22331131022329. The next prime is 22331131022351. The reversal of 22331131022330 is 3322013113322.

It can be written as a sum of positive squares in 32 ways, for example, as 844114425049 + 21487016597281 = 918757^2 + 4635409^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22331131022330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10080536 + ... + 12094604.

Almost surely, 222331131022330 is an apocalyptic number.

22331131022330 is an abundant number, since it is smaller than the sum of its proper divisors (25357857312070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22331131022330 is a wasteful number, since it uses less digits than its factorization.

22331131022330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014308.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 22331131022330 its reverse (3322013113322), we get a palindrome (25653144135652).

The spelling of 22331131022330 in words is "twenty-two trillion, three hundred thirty-one billion, one hundred thirty-one million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 29 34 58 65 85 130 145 170 173 221 290 346 377 442 493 754 865 986 1105 1730 1885 2210 2249 2465 2941 3770 4498 4930 5017 5882 6409 10034 11245 12818 14705 22490 25085 29410 32045 38233 50170 64090 65221 76466 85289 130442 170578 191165 326105 382330 426445 652210 852890 1108757 2014069 2217514 4028138 5543785 10070345 11087570 20140690 26182897 34239173 52365794 58408001 68478346 116816002 130914485 171195865 261828970 292040005 342391730 348433937 445109249 584080010 696867874 759304013 890218498 992936017 1518608026 1742169685 1985872034 2225546245 3484339370 3796520065 4451092490 4529641181 4964680085 5923376929 7593040130 9059282362 9929360170 10104584173 11846753858 12908168221 20209168346 22648205905 25816336442 29616884645 45296411810 50522920865 59233769290 64540841105 77003900077 101045841730 129081682210 131359594249 154007800154 171777930941 262719188498 343555861882 385019500385 656797971245 770039000770 858889654705 1313595942490 1717779309410 2233113102233 4466226204466 11165565511165 22331131022330