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212410121020032 = 2731344396049897
BaseRepresentation
bin110000010010111110010101…
…110011110110001010000000
31000212002012122112202121202110
4300102332111303312022000
5210320111411440120112
62031431510144215320
762512060545433215
oct6022762563661200
91025065575677673
10212410121020032
1161753698882711
121b9a660790a540
13916a25b09a540
143a649c1a2bb0c
15198541c1be13c
hexc12f95cf6280

212410121020032 has 128 divisors (see below), whose sum is σ = 608987089287360. Its totient is φ = 65209426993152.

The previous prime is 212410121020021. The next prime is 212410121020061. The reversal of 212410121020032 is 230020121014212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 212410121019990 and 212410121020008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45813493 + ... + 50236404.

Almost surely, 2212410121020032 is an apocalyptic number.

It is an amenable number.

212410121020032 is an abundant number, since it is smaller than the sum of its proper divisors (396576968267328).

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

212410121020032 is a wasteful number, since it uses less digits than its factorization.

212410121020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96050370 (or 96050358 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212410121020032 its reverse (230020121014212), we get a palindrome (442430242034244).

The spelling of 212410121020032 in words is "two hundred twelve trillion, four hundred ten billion, one hundred twenty-one million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 443 624 832 886 1248 1329 1664 1772 2496 2658 3544 4992 5316 5759 7088 10632 11518 14176 17277 21264 23036 28352 34554 42528 46072 56704 69108 85056 92144 138216 170112 184288 276432 368576 552864 737152 1105728 2211456 96049897 192099794 288149691 384199588 576299382 768399176 1152598764 1248648661 1536798352 2305197528 2497297322 3073596704 3745945983 4610395056 4994594644 6147193408 7491891966 9220790112 9989189288 12294386816 14983783932 18441580224 19978378576 29967567864 36883160448 39956757152 42550104371 59935135728 79913514304 85100208742 119870271456 127650313113 159827028608 170200417484 239740542912 255300626226 340400834968 479481085824 510601252452 553151356823 680801669936 1021202504904 1106302713646 1361603339872 1659454070469 2042405009808 2212605427292 2723206679744 3318908140938 4084810019616 4425210854584 5446413359488 6637816281876 8169620039232 8850421709168 13275632563752 16339240078464 17700843418336 26551265127504 35401686836672 53102530255008 70803373673344 106205060510016 212410121020032