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104213305124343 = 321729533071443509
BaseRepresentation
bin10111101100100000001101…
…000010000110010111110111
3111122222200202102020021002100
4113230200031002012113313
5102124412322102434333
61005350533105513143
730644106564611352
oct2754401502062767
9448880672207070
10104213305124343
11302296839a8878
12b8312a10427b3
13461c37090588c
141ba3d45307299
15c0ac61d23213
hex5ec80d0865f7

104213305124343 has 96 divisors (see below), whose sum is σ = 168539377406400. Its totient is φ = 61740938907648.

The previous prime is 104213305124297. The next prime is 104213305124359. The reversal of 104213305124343 is 343421503312401.

104213305124343 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 3 + 305 + 1 + 2 + 4 + 343 = 666.

It is a de Polignac number, because none of the positive numbers 2k-104213305124343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104213305124298 and 104213305124307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104213305122343) 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 95 ways as a sum of consecutive naturals, for example, 71472673 + ... + 72916181.

It is an arithmetic number, because the mean of its divisors is an integer number (1755618514650).

Almost surely, 2104213305124343 is an apocalyptic number.

104213305124343 is a deficient number, since it is larger than the sum of its proper divisors (64326072282057).

104213305124343 is a wasteful number, since it uses less digits than its factorization.

104213305124343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443921 (or 1443918 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 104213305124343 its reverse (343421503312401), we get a palindrome (447634808436744).

The spelling of 104213305124343 in words is "one hundred four trillion, two hundred thirteen billion, three hundred five million, one hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 3 9 17 29 51 53 87 153 159 261 307 477 493 901 921 1479 1537 2703 2763 4437 4611 5219 8109 8903 13833 15657 16271 26129 26709 46971 48813 78387 80127 146439 151351 235161 276607 454053 471859 829821 1362159 1415577 1443509 2489463 4246731 4330527 8021603 12991581 24064809 24539653 41861761 72194427 73618959 76505977 125585283 220856877 229517931 376755849 443157263 688553793 711649937 1300601609 1329471789 2134949811 2218673333 3901804827 3988415367 6404849433 6656019999 7533673471 11705414481 12851560627 19968059997 22601020413 23487334939 37717446661 38554681881 67803061239 70462004817 113152339983 115664045643 211386014451 218476530659 339457019949 399284693963 655429591977 681132713231 1197854081889 1966288775931 2043398139693 3593562245667 6130194419079 11579256124927 34737768374781 104213305124343