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21021120010212 = 223721071901175757
BaseRepresentation
bin1001100011110010111000…
…11001000001011111100100
32202102121011222220121120020
410301321130121001133210
510223402223210311322
6112412545203435140
74266503643631500
oct461713431013744
982377158817506
1021021120010212
116775009254223
12243604a685ab0
13b9638acc2b2a
145295db617300
15266c1a85305c
hex131e5c6417e4

21021120010212 has 144 divisors (see below), whose sum is σ = 57621194503488. Its totient is φ = 5946739411200.

The previous prime is 21021120010199. The next prime is 21021120010243. The reversal of 21021120010212 is 21201002112012.

It is a junction number, because it is equal to n+sod(n) for n = 21021120010191 and 21021120010200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119515438 + ... + 119691194.

It is an arithmetic number, because the mean of its divisors is an integer number (400147184052).

Almost surely, 221021120010212 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 21021120010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28810597251744).

21021120010212 is an abundant number, since it is smaller than the sum of its proper divisors (36600074493276).

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

21021120010212 is a wasteful number, since it uses less digits than its factorization.

21021120010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177786 (or 177777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21021120010212 its reverse (21201002112012), we get a palindrome (42222122122224).

The spelling of 21021120010212 in words is "twenty-one trillion, twenty-one billion, one hundred twenty million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 428 588 642 749 1284 1498 1901 2247 2996 3802 4494 5243 5703 7604 8988 10486 11406 13307 15729 20972 22812 26614 31458 39921 53228 62916 79842 93149 159684 175757 186298 203407 279447 351514 372596 406814 527271 558894 610221 703028 813628 1054542 1117788 1220442 1230299 1423849 2109084 2440884 2460598 2847698 3690897 4271547 4921196 5695396 7381794 8543094 8612093 9966943 14763588 17086188 17224186 18805999 19933886 25836279 29900829 34448372 37611998 39867772 51672558 56417997 59801658 75223996 103345116 112835994 119603316 131641993 225671988 263283986 334114057 394925979 526567972 668228114 789851958 921493951 1002342171 1336456228 1579703916 1842987902 2004684342 2338798399 2764481853 3685975804 4009368684 4677596798 5528963706 7016395197 9355193596 11057927412 14032790394 16371588793 28065580788 32743177586 35750204099 49114766379 65486355172 71500408198 98229532758 107250612297 143000816396 196459065516 214501224594 250251428693 429002449188 500502857386 750754286079 1001005714772 1501508572158 1751760000851 3003017144316 3503520001702 5255280002553 7007040003404 10510560005106 21021120010212