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2114100422214 = 2311435919365419
BaseRepresentation
bin11110110000111010001…
…101000110011001000110
321111002212021220212011120
4132300322031012121012
5234114134202002324
64255112045014410
7305511244043154
oct36607215063106
97432767825146
102114100422214
11745648634890
122a1887b54406
131244884136c1
14744744883d4
1539ed5085179
hex1ec3a346646

2114100422214 has 128 divisors (see below), whose sum is σ = 4824793036800. Its totient is φ = 611935672320.

The previous prime is 2114100422129. The next prime is 2114100422243. The reversal of 2114100422214 is 4122240014112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32283597 + ... + 32349015.

It is an arithmetic number, because the mean of its divisors is an integer number (37693695600).

Almost surely, 22114100422214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114100422214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412396518400).

2114100422214 is an abundant number, since it is smaller than the sum of its proper divisors (2710692614586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2114100422214 is a wasteful number, since it uses less digits than its factorization.

2114100422214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65730.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2114100422214 its reverse (4122240014112), we get a palindrome (6236340436326).

The spelling of 2114100422214 in words is "two trillion, one hundred fourteen billion, one hundred million, four hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 43 59 66 86 118 129 177 193 258 354 386 473 579 649 946 1158 1298 1419 1947 2123 2537 2838 3894 4246 5074 6369 7611 8299 11387 12738 15222 16598 22774 24897 27907 34161 49794 55814 65419 68322 83721 91289 125257 130838 167442 182578 196257 250514 273867 375771 392514 489641 547734 719609 751542 979282 1439218 1468923 2158827 2813017 2937846 3859721 4317654 5386051 5626034 7719442 8439051 10772102 11579163 12625867 16158153 16878102 23158326 25251734 30943187 32316306 37877601 42456931 61886374 75755202 84913862 92829561 127370793 138884537 165968003 185659122 254741586 277769074 331936006 416653611 497904009 542912281 744926153 833307222 995808018 1085824562 1489852306 1628736843 1825648033 2234778459 3257473686 3651296066 4469556918 5476944099 5972035091 8194187683 10953888198 11944070182 16388375366 17916105273 24582563049 32031824579 35832210546 49165126098 64063649158 96095473737 192190947474 352350070369 704700140738 1057050211107 2114100422214