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21243123412413 = 3773131173617991
BaseRepresentation
bin1001101010010000011001…
…10100110010110110111101
32210012211012210110221110220
410311020030310302312331
510241021404043144123
6113102542311051553
74321523254464240
oct465101464626675
983184183427426
1021243123412413
1168501813a5141
122471087070bb9
13bb12aaa85706
1453625bac3257
1526c8b0878ce3
hex13520cd32dbd

21243123412413 has 128 divisors (see below), whose sum is σ = 33343027052544. Its totient is φ = 11781523353600.

The previous prime is 21243123412409. The next prime is 21243123412451. The reversal of 21243123412413 is 31421432134212.

It is not a de Polignac number, because 21243123412413 - 22 = 21243123412409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21243123412013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21436047348 + ... + 21436048338.

It is an arithmetic number, because the mean of its divisors is an integer number (260492398848).

Almost surely, 221243123412413 is an apocalyptic number.

It is an amenable number.

21243123412413 is a deficient number, since it is larger than the sum of its proper divisors (12099903640131).

21243123412413 is a wasteful number, since it uses less digits than its factorization.

21243123412413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995.

The product of its digits is 27648, while the sum is 33.

Adding to 21243123412413 its reverse (31421432134212), we get a palindrome (52664555546625).

The spelling of 21243123412413 in words is "twenty-one trillion, two hundred forty-three billion, one hundred twenty-three million, four hundred twelve thousand, four hundred thirteen".

Divisors: 1 3 7 21 73 131 173 219 393 511 519 617 917 991 1211 1533 1851 2751 2973 3633 4319 6937 9563 12629 12957 20811 22663 28689 37887 45041 66941 67989 72343 80827 88403 106741 129821 135123 158641 171443 200823 217029 242481 265209 315287 320223 389463 475923 506401 514329 565789 611447 747187 908747 945861 1200101 1519203 1654399 1697367 1834341 2241561 2726241 3600303 4280129 4963197 5900371 7792093 9476933 11580793 12515339 12840387 13983071 17701113 22459033 23376279 28430799 34742379 37546017 41302597 41949213 44635631 54544651 66338531 67377099 80099557 87607373 97881497 105780331 123907791 133906893 157213231 163633953 199015593 240298671 262822119 293644491 312449417 317340993 471639693 560696899 740462317 937348251 1020764183 1639509409 1682090697 2221386951 3062292549 4918528227 5847267661 7145349281 7721964163 11476565863 13857223361 17541802983 21436047843 23165892489 34429697589 40930873627 41571670083 54053749141 97000563527 122792620881 162161247423 291001690581 1011577305353 3034731916059 7081041137471 21243123412413