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22053643313513 = 7317314714511789
BaseRepresentation
bin1010000001110110000111…
…00100110110000101101001
32220002022022022200000211012
411000323003210312011221
510342311330142013023
6114523145345313305
74434215561123000
oct500730344660551
986068268600735
1022053643313513
117032996793279
122582188635835
13c3c85a351a26
1456358b263c37
152839ec4c3978
hex140ec3936169

22053643313513 has 128 divisors (see below), whose sum is σ = 28743745536000. Its totient is φ = 16829914752000.

The previous prime is 22053643313509. The next prime is 22053643313549. The reversal of 22053643313513 is 31531334635022.

It is not a de Polignac number, because 22053643313513 - 22 = 22053643313509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22053643313563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12327357023 + ... + 12327358811.

It is an arithmetic number, because the mean of its divisors is an integer number (224560512000).

Almost surely, 222053643313513 is an apocalyptic number.

It is an amenable number.

22053643313513 is a deficient number, since it is larger than the sum of its proper divisors (6690102222487).

22053643313513 is a wasteful number, since it uses less digits than its factorization.

22053643313513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 41.

Adding to 22053643313513 its reverse (31531334635022), we get a palindrome (53584977948535).

The spelling of 22053643313513 in words is "twenty-two trillion, fifty-three billion, six hundred forty-three million, three hundred thirteen thousand, five hundred thirteen".

Divisors: 1 7 17 31 47 49 119 217 329 343 527 799 833 1451 1457 1519 1789 2303 3689 5593 5831 10157 10199 10633 12523 16121 24667 24769 25823 30413 39151 44981 55459 68197 71099 71393 84083 87661 172669 173383 180761 212891 274057 314867 388213 477379 497693 499751 588581 613627 764677 942803 1159349 1208683 1213681 1429411 1490237 2114107 2204069 2595839 2606573 2717491 3341653 4120067 5352739 6599621 8115443 8460781 8495767 10005877 10431659 14798749 15428483 18170873 18246011 19022437 23391571 28840469 35939819 37469173 44129263 44311741 46197347 56808101 70041139 80471009 103591243 122004433 127196111 127722077 251578733 262284211 308904841 310182187 323381429 397656707 490287973 563297063 725138701 854031031 890372777 894054539 1368007153 1761051131 2074075361 2162333887 2171275309 3782137423 3943079441 5978217217 9576050071 12327357917 14518527527 15136337209 15198927163 26474961961 27601556087 41847520519 64296336191 67032350497 101629692689 185324733727 450074353337 469226453479 711407848823 1297273136089 3150520473359 22053643313513