Search a number
-
+
21021022020012 = 223742131342371
BaseRepresentation
bin1001100011110010101101…
…00011001110000110101100
32202102120221011112012021120
410301321112203032012230
510223402023114120022
6112412531343300540
74266501344010000
oct461712643160654
982376834465246
1021021022020012
116774a68a05793
1224360218aa750
13b96373904071
145295cc5ca700
15266c11e48d5c
hex131e568ce1ac

21021022020012 has 120 divisors (see below), whose sum is σ = 57247507192512. Its totient is φ = 6003170359200.

The previous prime is 21021022019957. The next prime is 21021022020077. The reversal of 21021022020012 is 21002022012012.

It is a junction number, because it is equal to n+sod(n) for n = 21021022019973 and 21021022020000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61227187 + ... + 61569557.

Almost surely, 221021022020012 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 21021022020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28623753596256).

21021022020012 is an abundant number, since it is smaller than the sum of its proper divisors (36226485172500).

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

21021022020012 is a wasteful number, since it uses less digits than its factorization.

21021022020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344537 (or 344514 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21021022020012 its reverse (21002022012012), we get a palindrome (42023044032024).

The spelling of 21021022020012 in words is "twenty-one trillion, twenty-one billion, twenty-two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2131 2401 4116 4262 4802 6393 7203 8524 9604 12786 14406 14917 25572 28812 29834 44751 59668 89502 104419 179004 208838 313257 342371 417676 626514 684742 730933 1027113 1253028 1369484 1461866 2054226 2192799 2396597 2923732 4108452 4385598 4793194 5116531 7189791 8771196 9586388 10233062 14379582 15349593 16776179 20466124 28759164 30699186 33552358 50328537 61398372 67104716 100657074 117433253 201314148 234866506 352299759 469733012 704599518 729592601 822032771 1409199036 1459185202 1644065542 2188777803 2466098313 2918370404 3288131084 4377555606 4932196626 5107148207 8755111212 9864393252 10214296414 15321444621 20428592828 30642889242 35750037449 61285778484 71500074898 107250112347 143000149796 214500224694 250250262143 429000449388 500500524286 750750786429 1001001048572 1501501572858 1751751835001 3003003145716 3503503670002 5255255505003 7007007340004 10510511010006 21021022020012