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21134403414243 = 3376712717973417
BaseRepresentation
bin1001100111000101111001…
…00110111010100011100011
32202211102120220121210112000
410303202330212322203203
510232231224233223433
6112541002204135043
74310624134653450
oct463427446724343
982742526553460
1021134403414243
116809060833389
122453ba4b37483
13ba3c72811152
14530ca68d6827
15269b4ad21113
hex1338bc9ba8e3

21134403414243 has 128 divisors (see below), whose sum is σ = 36808143667200. Its totient is φ = 11736779814144.

The previous prime is 21134403414233. The next prime is 21134403414247. The reversal of 21134403414243 is 34241430443112.

21134403414243 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 4 + 403 + 4 + 1 + 4 + 243 = 666.

It is not a de Polignac number, because 21134403414243 - 28 = 21134403413987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21134403414198 and 21134403414207.

It is not an unprimeable number, because it can be changed into a prime (21134403414247) 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, 287831271 + ... + 287904687.

It is an arithmetic number, because the mean of its divisors is an integer number (287563622400).

Almost surely, 221134403414243 is an apocalyptic number.

21134403414243 is a deficient number, since it is larger than the sum of its proper divisors (15673740252957).

21134403414243 is a wasteful number, since it uses less digits than its factorization.

21134403414243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73806 (or 73800 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 21134403414243 its reverse (34241430443112), we get a palindrome (55375833857355).

The spelling of 21134403414243 in words is "twenty-one trillion, one hundred thirty-four billion, four hundred three million, four hundred fourteen thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 27 63 67 127 179 189 201 381 469 537 603 889 1143 1253 1407 1611 1809 2667 3429 3759 4221 4833 8001 8509 11277 11993 12663 22733 24003 25527 33831 35979 59563 68199 73417 76581 83951 107937 159131 178689 204597 220251 229743 251853 323811 477393 513919 536067 613791 660753 755559 1432179 1523111 1541757 1608201 1982259 2266677 4296537 4569333 4625271 4918939 9323959 10661777 13141643 13707999 13875813 14756817 27971877 31985331 34432573 39424929 41123997 44270451 65267713 83915631 91991501 95955993 103297719 118274787 132811353 195803139 251746893 275974503 287867979 309893157 354824361 587409417 624705253 827923509 880490081 929679471 1668988661 1762228251 1874115759 2483770527 2641470243 4372936771 5006965983 5622347277 6163430567 7924410729 11682920627 13118810313 15020897949 16867041831 18490291701 23773232187 35048761881 39356430939 45062693847 55470875103 105146285643 111822240287 118069292817 166412625309 315438856929 335466720861 782755682009 1006400162583 2348267046027 3019200487749 7044801138081 21134403414243