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11102300021322 = 235347124952709
BaseRepresentation
bin1010000110001111010010…
…1001100010001001001010
31110022100222101012012200000
42201203310221202021022
52423400002301140242
635340154244023430
72224054226052336
oct241436451421112
943270871165600
1011102300021322
1135a0505a20084
1212b3849991b76
13626c335b5553
142a54d5c6c7c6
15143be27bba4c
hexa18f4a6224a

11102300021322 has 96 divisors (see below), whose sum is σ = 25038304200000. Its totient is φ = 3687077242368.

The previous prime is 11102300021233. The next prime is 11102300021339. The reversal of 11102300021322 is 22312000320111.

11102300021322 is a `hidden beast` number, since 1 + 110 + 230 + 0 + 0 + 2 + 1 + 322 = 666.

It is a super-2 number, since 2×111023000213222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11102300021295 and 11102300021304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210607504 + ... + 210660212.

It is an arithmetic number, because the mean of its divisors is an integer number (260815668750).

Almost surely, 211102300021322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102300021322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519152100000).

11102300021322 is an abundant number, since it is smaller than the sum of its proper divisors (13936004178678).

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

11102300021322 is a wasteful number, since it uses less digits than its factorization.

11102300021322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54322 (or 54310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11102300021322 its reverse (22312000320111), we get a palindrome (33414300341433).

The spelling of 11102300021322 in words is "eleven trillion, one hundred two billion, three hundred million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 347 486 694 1041 1249 2082 2498 3123 3747 6246 7494 9369 11241 18738 22482 28107 33723 52709 56214 67446 84321 101169 105418 158127 168642 202338 303507 316254 433403 474381 607014 866806 948762 1300209 1423143 2600418 2846286 3900627 4269429 7801254 8538858 11701881 12808287 18290023 23403762 25616574 35105643 36580046 54870069 65833541 70211286 105316929 109740138 131667082 164610207 197500623 210633858 329220414 395001246 493830621 592501869 987661242 1185003738 1481491863 1777505607 2962983726 3555011214 4444475589 5332516821 8888951178 10665033642 15997550463 22844238727 31995100926 45688477454 68532716181 137065432362 205598148543 411196297086 616794445629 1233588891258 1850383336887 3700766673774 5551150010661 11102300021322