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21010502241432 = 233211210392321149
BaseRepresentation
bin1001100011011111000111…
…00001011100110010011000
32202101120210000201001222200
410301233203201130302120
510223214002033211212
6112404031432050200
74265646555243414
oct461574341346230
982346700631880
1021010502241432
11677055a855400
122433b86833960
13b95388328102
14528cb1403d44
152667e86176dc
hex131be385cc98

21010502241432 has 144 divisors (see below), whose sum is σ = 62606986260000. Its totient is φ = 6360688287360.

The previous prime is 21010502241403. The next prime is 21010502241473. The reversal of 21010502241432 is 23414220501012.

21010502241432 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 0 + 5 + 0 + 224 + 1 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21010502241396 and 21010502241405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7891194 + ... + 10212342.

Almost surely, 221010502241432 is an apocalyptic number.

21010502241432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010502241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31303493130000).

21010502241432 is an abundant number, since it is smaller than the sum of its proper divisors (41596484018568).

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

21010502241432 is a wasteful number, since it uses less digits than its factorization.

21010502241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322222 (or 2322204 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 21010502241432 its reverse (23414220501012), we get a palindrome (44424722742444).

The spelling of 21010502241432 in words is "twenty-one trillion, ten billion, five hundred two million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1039 1089 1452 2078 2178 2904 3117 4156 4356 6234 8312 8712 9351 11429 12468 18702 22858 24936 34287 37404 45716 68574 74808 91432 102861 125719 137148 205722 251438 274296 377157 411444 502876 754314 822888 1005752 1131471 1508628 2262942 2321149 3017256 4525884 4642298 6963447 9051768 9284596 13926894 18569192 20890341 25532639 27853788 41780682 51065278 55707576 76597917 83561364 102130556 153195834 167122728 204261112 229793751 280859029 306391668 459587502 561718058 612783336 842577087 919175004 1123436116 1685154174 1838350008 2246872232 2411673811 2527731261 3370308348 4823347622 5055462522 6740616696 7235021433 9646695244 10110925044 14470042866 19293390488 20221850088 21705064299 26528411921 28940085732 43410128598 53056823842 57880171464 79585235763 86820257196 106113647684 159170471526 173640514392 212227295368 238755707289 291812531131 318340943052 477511414578 583625062262 636681886104 875437593393 955022829156 1167250124524 1750875186786 1910045658312 2334500249048 2626312780179 3501750373572 5252625560358 7003500747144 10505251120716 21010502241432