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21221212220010 = 23251123931981213
BaseRepresentation
bin1001101001100111100101…
…10100001110101001101010
32210010201122202201001010100
410310303302310032221222
510240142020312020020
6113044520150130230
74320116264433645
oct464636264165152
983121582631110
1021221212220010
116841958075a70
122468991050976
13bac1c84589ca
1453517da5ca5c
1526c02be3da90
hex134cf2d0ea6a

21221212220010 has 96 divisors (see below), whose sum is σ = 62808077973888. Its totient is φ = 4920860799360.

The previous prime is 21221212219997. The next prime is 21221212220017. The reversal of 21221212220010 is 1002221212212.

It is a happy number.

21221212220010 is a `hidden beast` number, since 2 + 1 + 221 + 212 + 220 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21221212220017) 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 47 ways as a sum of consecutive naturals, for example, 465967837 + ... + 466013376.

It is an arithmetic number, because the mean of its divisors is an integer number (654250812228).

Almost surely, 221221212220010 is an apocalyptic number.

21221212220010 is an abundant number, since it is smaller than the sum of its proper divisors (41586865753878).

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

21221212220010 is a wasteful number, since it uses less digits than its factorization.

21221212220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931981260 (or 931981257 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221212220010 its reverse (1002221212212), we get a palindrome (22223433432222).

The spelling of 21221212220010 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 931981213 1863962426 2795943639 4659906065 5591887278 8387830917 9319812130 10251793343 13979718195 16775661834 20503586686 21435567899 27959436390 30755380029 41939154585 42871135798 51258966715 61510760058 64306703697 83878309170 92266140087 102517933430 107177839495 128613407394 153776900145 184532280174 192920111091 214355678990 235791246889 307553800290 321533518485 385840222182 461330700435 471582493778 643067036970 707373740667 922661400870 964600555455 1178956234445 1414747481334 1929201110910 2122121222001 2357912468890 3536868703335 4244242444002 7073737406670 10610606110005 21221212220010