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21002100021112 = 2375933735952541
BaseRepresentation
bin1001100011001111011101…
…01101100001011101111000
32202100210002110110001112111
410301213232231201131320
510223044300101133422
6112400122003222104
74265231421453310
oct461475655413570
982323073401474
1021002100021112
116767a38a35971
122432420977934
13b94649676c02
14528715558440
152664a5b6aa77
hex1319eeb61778

21002100021112 has 128 divisors (see below), whose sum is σ = 46031836032000. Its totient is φ = 8797344675840.

The previous prime is 21002100021103. The next prime is 21002100021143. The reversal of 21002100021112 is 21112000120012.

It is a junction number, because it is equal to n+sod(n) for n = 21002100021092 and 21002100021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399701562 + ... + 399754102.

It is an arithmetic number, because the mean of its divisors is an integer number (359623719000).

Almost surely, 221002100021112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002100021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015918016000).

21002100021112 is an abundant number, since it is smaller than the sum of its proper divisors (25029736010888).

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

21002100021112 is a wasteful number, since it uses less digits than its factorization.

21002100021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53309 (or 53305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21002100021112 its reverse (21112000120012), we get a palindrome (42114100141124).

The spelling of 21002100021112 in words is "twenty-one trillion, two billion, one hundred million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 337 359 413 472 674 718 826 1348 1436 1652 2359 2513 2696 2872 3304 4718 5026 9436 10052 18872 19883 20104 21181 39766 42362 52541 79532 84724 105082 120983 139181 148267 159064 169448 210164 241966 278362 296534 367787 420328 483932 556724 593068 735574 846881 967864 1113448 1186136 1471148 1693762 2942296 3099919 3387524 6199838 6775048 7137997 12399676 14275994 17706317 18862219 21699433 24799352 28551988 35412634 37724438 43398866 49965979 57103976 70825268 75448876 86797732 99931958 123944219 132035533 141650536 150897752 173595464 199863916 247888438 264071066 399727832 495776876 528142132 991553752 1044672703 1056284264 1112870921 2089345406 2225741842 4178690812 4451483684 6356567803 7312708921 7790096447 8357381624 8902967368 12713135606 14625417842 15580192894 25426271212 29250835684 31160385788 44495974621 50852542424 58501671368 62320771576 88991949242 177983898484 355967796968 375037500377 750075000754 1500150001508 2625262502639 3000300003016 5250525005278 10501050010556 21002100021112