Search a number
-
+
21010200000220 = 22517229673186247
BaseRepresentation
bin1001100011011110100011…
…00000011111011011011100
32202101112222221222121222201
410301233101200133123130
510223212342200001340
6112403541434021244
74265636225240614
oct461572140373334
982345887877881
1021010200000220
116770415190082
122433b01577824
13b9533a824162
14528c83209a44
152667cbd1479a
hex131bd181f6dc

21010200000220 has 144 divisors (see below), whose sum is σ = 48557960216640. Its totient is φ = 7625584705536.

The previous prime is 21010200000173. The next prime is 21010200000227. The reversal of 21010200000220 is 2200000201012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21010200000197 and 21010200000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010200000227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112715137 + ... + 112901383.

It is an arithmetic number, because the mean of its divisors is an integer number (337208057060).

Almost surely, 221010200000220 is an apocalyptic number.

21010200000220 is a gapful number since it is divisible by the number (20) 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 21010200000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24278980108320).

21010200000220 is an abundant number, since it is smaller than the sum of its proper divisors (27547760216420).

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

21010200000220 is a wasteful number, since it uses less digits than its factorization.

21010200000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186992 (or 186973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21010200000220 its reverse (2200000201012), we get a palindrome (23210200201232).

The spelling of 21010200000220 in words is "twenty-one trillion, ten billion, two hundred million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 289 290 340 493 578 580 673 986 1156 1346 1445 1972 2465 2692 2890 3365 4930 5780 6730 8381 9860 11441 13460 16762 19517 22882 33524 39034 41905 45764 57205 78068 83810 97585 114410 167620 186247 194497 195170 228820 331789 372494 388994 390340 663578 744988 777988 931235 972485 1327156 1658945 1862470 1944970 3166199 3317890 3724940 3889940 5401163 5640413 6332398 6635780 10802326 11280826 12664796 15830995 21604652 22561652 27005815 28202065 31661990 53825383 54011630 56404130 63323980 91819771 107650766 108023260 112808260 125344231 183639542 215301532 250688462 269126915 367279084 459098855 501376924 538253830 626721155 918197710 1076507660 1253442310 1560936107 1836395420 2130851927 2506884620 3121872214 3634982699 4261703854 6243744428 7269965398 7804680535 8523407708 10654259635 14539930796 15609361070 18174913495 21308519270 31218722140 36224482759 36349826990 42617038540 61794705883 72448965518 72699653980 123589411766 144897931036 181122413795 247178823532 308973529415 362244827590 617947058830 724489655180 1050510000011 1235894117660 2101020000022 4202040000044 5252550000055 10505100000110 21010200000220