Search a number
-
+
21121020222211 = 7132612393073989
BaseRepresentation
bin1001100110101100111101…
…11010000101101100000011
32202210011001012210012102001
410303112132322011230003
510232021322134102321
6112530510204004431
74306641366500050
oct463263672055403
982704035705361
1021121020222211
1168034133230a8
12245148ab30717
13ba291bc34400
14530397300027
15269615e2ac91
hex13359ee85b03

21121020222211 has 96 divisors (see below), whose sum is σ = 26771186534400. Its totient is φ = 16311001674240.

The previous prime is 21121020222209. The next prime is 21121020222257. The reversal of 21121020222211 is 11222202012112.

It is not a de Polignac number, because 21121020222211 - 21 = 21121020222209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21121020225211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5294813805 + ... + 5294817793.

It is an arithmetic number, because the mean of its divisors is an integer number (278866526400).

Almost surely, 221121020222211 is an apocalyptic number.

21121020222211 is a deficient number, since it is larger than the sum of its proper divisors (5650166312189).

21121020222211 is a wasteful number, since it uses less digits than its factorization.

21121020222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21121020222211 its reverse (11222202012112), we get a palindrome (32343222234323).

The spelling of 21121020222211 in words is "twenty-one trillion, one hundred twenty-one billion, twenty million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 7 13 61 91 169 239 307 427 793 1183 1673 2149 3107 3989 3991 5551 10309 14579 18727 21749 27923 27937 40391 51857 51883 72163 73373 102053 131089 189527 243329 243451 282737 362999 363181 513611 674141 953371 953849 1224623 1326689 1703303 1704157 2463851 3163277 3164863 4475753 4718987 6673597 6676943 8572361 12393823 12400037 15920099 17246957 22142939 22154041 31330271 41122601 58155631 58184789 74702003 86756761 86800259 111440693 161119699 206961287 287858207 292684897 407089417 407293523 522914021 756023203 756402257 971126039 1127837893 1448729009 2048794279 3804903661 5292162421 5294815799 6797882273 9828301639 12624638507 17853778717 26634325627 49463747593 68798111473 88372469549 124976451019 232099123321 346246233151 1624693863247 3017288603173 21121020222211