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21430023300114 = 231113372832385323
BaseRepresentation
bin1001101111101100100001…
…11011010010010000010010
32210212200122011120222020220
410313312100323102100102
510302102141431100424
6113324452232213510
74341160645353102
oct467662073222022
983780564528226
1021430023300114
116912470523050
1224a134753a296
13bc5ac5050240
1454130c019202
1527269dbc3579
hex137d90ed2412

21430023300114 has 128 divisors (see below), whose sum is σ = 51896711881728. Its totient is φ = 5811789346560.

The previous prime is 21430023300067. The next prime is 21430023300137. The reversal of 21430023300114 is 41100332003412.

It is a happy 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, 7791457 + ... + 10176779.

It is an arithmetic number, because the mean of its divisors is an integer number (405443061576).

Almost surely, 221430023300114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21430023300114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25948355940864).

21430023300114 is an abundant number, since it is smaller than the sum of its proper divisors (30466688581614).

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

21430023300114 is a wasteful number, since it uses less digits than its factorization.

21430023300114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385672.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21430023300114 its reverse (41100332003412), we get a palindrome (62530355303526).

The spelling of 21430023300114 in words is "twenty-one trillion, four hundred thirty billion, twenty-three million, three hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 143 222 283 286 407 429 481 566 814 849 858 962 1221 1443 1698 2442 2886 3113 3679 5291 6226 7358 9339 10471 10582 11037 15873 18678 20942 22074 31413 31746 40469 62826 80938 115181 121407 136123 230362 242814 272246 345543 408369 691086 816738 1497353 2385323 2994706 4492059 4770646 7155969 8984118 14311938 26238553 31009199 52477106 62018398 78715659 88256951 93027597 157431318 176513902 186055194 264770853 341101189 529541706 675046409 682202378 970826461 1023303567 1147340363 1350092818 1941652922 2025139227 2046607134 2294680726 2912479383 3442021089 4050278454 5824958766 6884042178 7425510499 8775603317 12620743993 14851020998 17551206634 22276531497 24976717133 25241487986 26326809951 37862231979 44553062994 49953434266 52653619902 74930151399 75724463958 96531636487 149860302798 193063272974 274743888463 289594909461 324697322729 549487776926 579189818922 649394645458 824231665389 974091968187 1648463330778 1948183936374 3571670550019 7143341100038 10715011650057 21430023300114