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21542562500121 = 321310131119732971
BaseRepresentation
bin1001110010111110001001…
…10010010000111000011001
32211021110010012221200012200
410321133010302100320121
510310423132000000441
6113452303330000413
74352253531646035
oct471370462207031
984243105850180
1021542562500121
116956170a10763
1224bb114716109
13c035bb622c50
145469465351c5
15275588b8b7b6
hex1397c4c90e19

21542562500121 has 96 divisors (see below), whose sum is σ = 33979900840704. Its totient is φ = 13072466880000.

The previous prime is 21542562500033. The next prime is 21542562500141. The reversal of 21542562500121 is 12100526524512.

21542562500121 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 2 + 5 + 625 + 0 + 0 + 1 + 21 = 666.

It is not a de Polignac number, because 21542562500121 - 211 = 21542562498073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21542562500141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7250945166 + ... + 7250948136.

It is an arithmetic number, because the mean of its divisors is an integer number (353957300424).

Almost surely, 221542562500121 is an apocalyptic number.

It is an amenable number.

21542562500121 is a deficient number, since it is larger than the sum of its proper divisors (12437338340583).

21542562500121 is a wasteful number, since it uses less digits than its factorization.

21542562500121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 21542562500121 in words is "twenty-one trillion, five hundred forty-two billion, five hundred sixty-two million, five hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 101 117 303 311 909 933 1313 1973 2799 2971 3939 4043 5919 8913 11817 12129 17757 25649 26739 31411 36387 38623 76947 94233 115869 199273 230841 282699 300071 347607 408343 597819 613603 900213 923981 1225029 1793457 1840809 2590549 2700639 2771943 3675087 3900923 5522427 5861783 7771647 7976839 8315829 11702769 12011753 17585349 23314941 23930517 35108307 36035259 52756047 61973903 71791551 76203179 93322081 108105777 185921709 228609537 279966243 557765127 592040083 685828611 805660739 839898729 1213187053 1776120249 1823014513 2416982217 3639561159 5328360747 5469043539 7250946651 7696521079 10918683477 16407130617 23089563237 23699188669 69268689711 71097566007 184124465813 213292698021 552373397439 1657120192317 2393618055569 7180854166707 21542562500121